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Syllabus

express vector a vector = 5i-2j+5k as sum of 2 vectors such that 1 is parallel to vector b and and other is perpendicular to vector b where b = 3i+k

the scaler pdt of the vector i+j+k with a unit vector along the sum of vectors 2i+4j-5k and lambda i +2j +3k is equal to 1 find the lambda

( 1+(mod a )

^{2}) ( 1+ (mod b)^{2}) = (mod ( 1-a.b))^{2}+ (mod ( a+b+a*b))^{2}The 2 vectirs j +k and 3i-j+k represents the tow sides AB and AC respectively of a triangle ABC.the length if the median through A is

the vector a x(b x c),b x(c x a) and c x(a x b)are a)coplanar b)collinear c)non coplanar d)non colliear ???/prove it by vector methods prove that a/sina= b/sinb = c/sinc by vector method and also proff cosine formula by it

prove that b= c cos a+ a cosc by vector method

If a,b,c and d are the vector quantity , then (a x b) x (c x d) is a vector

a. perpendicular to a,b,c and d

b. along the line of intersection of two planes , one containing vector a,b other containing c and d

c. equally inclined to both vector (a x b) and vector(c x d )

d. none of these

If a vector and b vector are the position vectors of A and B ,respectively ,find the position vector of a point C in BA produced such that BA =1.5 BA.

If sec

^{2}A i + j + k , i + sec^{2}B j + k , and i + j + sec^{2}C k are coplanar , then cot^{2}A + cot^{2}B + Cot^{2}C isa. equal to 1

b. equal to 2

c. equal to 0

d. not defined

this message is specially for vipin verma which always give incomplete answer vepin verma sir if u dont want to ans queries plz dont answer student query but dont do the formality and tolerating ques as i observe from 5 time u dont want to give proper and complete soln

as earlier when i remind u then u correct soln we r not ur servant that always reposting our queries u r always delaying in answering and which is always in complete

u see in this

expert in exam is the derivation of integration formula can be asked in exam and how can i answer that proof of formula

integrate e

^{x}(logsinx+ cosx)dx limit from pie by 4 to pie by 2Asked byKeshav Kr4 days, 16 hours agoSubject:Math1Answer

Yes integrate using limits can be asked in the examination.Just go through the NCERT examples and solve the limit sum exercise.

Posted byVipin Verma(MeritNation Expert) 3 hours, 21 minutes ago

2- u see here this is alsoincomplete

express vector a vector = 5i-2j+5k as sum of 2 vectors such that 1 is parallel to vector b and and other is perpendicular to vector b where b = 3i+k

the scaler pdt of the vector i+j+k with a unit vector along the sum of vectors 2i+4j-5k and lambda i +2j +3k is equal to 1 find the lambda

Asked byKeshav Kr3 days, 16 hours agoSubject:Math1Answer

Let the vector parallel tois n( 3i + k ), and a vector perpendicular to this will be ofthe form.xi+ yj + zk.

Since these two vectors on adding gives us the vector a, we can write the following equations.

x + 3n = 5

y = -2

z+ n = 5

Now, sincevector xi + yj + zk is perpendicular to vector b, their dot product must be zero. Satisfying that condition we get this..

3x + z = 0

z = -3x

and now on sloving the above 3 equations we get

n = 2

x = -1

y = -2

and z = 3

Therefore the two vectors are obtained in which 6i + 2k is parallel and -i - 2j + 3k is perpendicular to vector b.

The solution obtained can also be checked :

( 6i + 2k) + ( -i - 2j + 3k ) = 5i - 2j + 5k , which is the given vector.

Posted byVipin Verma(MeritNation Expert) 1 day, 17 hours ago

prove by method of vectors that in a tri angle a/sinA=b/sinB=c/sinC.

let u, v,w be vectors such that u+v+w=0 u=3, v=4, w=5 find 47 costhita and u.v+v.w+w.a

2- if a= 2i-3j+4k ,b= 3i+2j-4k, c= 4i-3j+5k which is meaningful and how can we evaluate this (a.b)crossc, a cross(b crossc), a.(bcrossc) how we can solve this type of prob

A] a,b,c are non-coplanar

B]b,c,d are non co-planar

C]b,d are non parallel

D]a,d are parallel and b,c are parallel

plsgive explaination too for ur choice

^{-1}(-7/11)if 3 vectors r coplaner prove that a+b,b+c,c+a r coplaner is a-b,b-c, c-a r also coplaner if yes tell me how

2 is right bisector of sides of a triangle r concurrent and internal bisectorof a triangle r concurrent is both r same or diff if diff mention their proff by vector method

Q.

Prove that the lines joining the vertices of a tetrahedron to the centroids of the opposite faces are concurrent.

Please explain briefly :

A vector a has components 2p and 1 with eith respect to a rectangular cartesian sysytem . This system is rotated through a certain angle about the origin in the counter - clockwise sense . I with respect to the new system vector a has components p+1 and 1, then

a. p =0

b. p =1,or p = -1/3

c. p =-1

d. p =1 or p =-1

Q.Prove that the altitudes in a triangle are concurrent.

THIS PROBLEM IS IN VECTOR ALGEBRA, MATH CHAPTER

px((x-q)xp) + qx((x-r)xq) + rx((x-p)xr)=0 then x is given by.......

A](p+q+r)/2

B](p+q-2r)/2

C](p+q+r)/3

D](2p+q+r)/3

Prove by Vector - For Any Triangle ABC, a/sin A = b/sin B = c/sin C = 2R. (WHERE R=CIRCUMRADIUS) - [sine-rule].

Find the area of triangle whose adjacent sides are along vectors 3j and 5k ?

If r = l(b x c) + m(c x a ) + n(a x b) and [a b c ] = 2, then l + m + n is equal to

a. r.[(b x c) + (c x a) + (a x b)]

b. 1/2 r.(a + b + c)

c. [a b c ]

d. none of these

Note that : r, a, b, and c are the vector quantities.then the angle between a and c

By using vector method prove that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the square of its sides.

please answer asap!!!

if a,b,c are non coplanar unit vectors such that vector triple product of a,b,c is (b+c)/2^1/2. then what is angle between a and b

please help me, a=2i+j+k,b=i+2j+kand c=i+j+2k be three vecters. A vector in the plane of b and c whose projection on a is underroot 2/3 will be,

If G is the centroid of triangle ABC ,then the value GA + GB + GC = ?

Please help soon .

thank you .

Using vectors ,find the value k such that points (k,-10,3),(1,-1,3) and (3,5,3) are collinear.

Q.3 Let $\overrightarrow{\mathbf{a}}\mathbf{,}\overrightarrow{\mathbf{b}}\mathbf{,}\overrightarrow{\mathbf{c}}$ be three unit vectors such that $3\overrightarrow{\mathbf{a}}+4\overrightarrow{\mathbf{b}}+5\overrightarrow{\mathbf{c}}$ = 0. Then which of the following statements is true ?

(a) $\overrightarrow{\mathbf{a}}$ is parallel to $\overrightarrow{\mathbf{b}}$

(b) $\overrightarrow{\mathbf{a}}$ is perpendicular to $\overrightarrow{\mathbf{b}}$

(c) $\overrightarrow{\mathbf{a}}$ is neither parallel nor perpendicular to $\overrightarrow{\mathbf{b}}$

(d) none of the above

WHAT ARE COPLANAR VECTORS

angle between the vectors 3/7i - 6/7j+2/7k and6/7i +2/7j -3/7k is

a 30 b 45 c 60 d 15 e 90

Find the equation of the plane containing the two lines i+j+Æ›(i+2j-k) and i+j+É(-i+j-2k)

if a=b+c a and c are 3i+j+2k and 2i-2j+2k then mod a+b

a 3 b 2 c 6 d 1 e 4

A vector r vector has magnitude 14 and direction ratios 2,3,-6 .Find the directino cosines and components of r vector ,given that r vector makes an acute angle with x-axis.

if a = i+2j+3k, b= 2i-j+k, c=i+j-2k how i can verify that across(b cross c)= (a.b)c i m getingif a =across(b cross c)= -9i+3k and (a.b)c = 3i+3j-6k explain me how both r equal

2- how to cal volm of parallelopiped whose continuous edge r represented by vectors a= 2i-3j+k, b= i-j+2k, c= 2i+j+k explain the concept of this also

the vectors a=xi +yj +zk , b=j and c are such that a,c,b form a right handed system, the vector c is

1- proff that a cross (across(acrossb)= (a.a)(b cross a ), 2- if a cross b= c cross d and a cross c = b cross d prove that a-d is parallel to b-c prove in depth also see under what i m asked

expert answer queries always delay caused we r nothing get advantage of clearing doubt i always get sweet talk from expert

expert its a humble request plz dont post incomplete soln as earlier vipin verma maths expert posted

if two collinear vectorsa and b are such that a=2i-4j+6k and mod b=root14 then b can be

a 2i-4j+6k b i-2j+3k c i+2j-3k d i+2j+3k e i-2j-3k

(a.i)i+(a.j)j+(a.k)k=???

Let vector a = -i -k, b = -i+j and c = i+2j+3k be three given vectors. If vector r is a vector such that r x b =c.b and r.a =0, then the value of r.b is ...............

(r, a, b, c are the vactor quantity)

Ans. 9

Let OPQR be a parallelogram with O as the origin. The position vectors along OP and OR are respectively. S is a point on OP which divides it in the ratio 1: 3. If SR intersects OQ in M whose position vector is then find the value of . please explain i did not understand what does it meant?

1 if the vector -i+j-k bisect the angle b/w the vector c and the vector 3i+ 4j find the unit vector in the dirn of c explain in better way

2 prove pythagoras theorem by vector method angle a is right angle u have to explain step by step also prove that unit pt of hypotenuse is equidistant from vertices

Asked byKeshav Kr1 week, 4 days agoSubject:Math

if 2i+3j-6k, 6i-2j+3k are two consecutive sides of a triangle,then perimeter of triangle is?

plz ans fast.

ans:sqr ^74+14