Prove that the vectors vec(A) = hati +2 ...

Prove that the vectors `vec(A) = hati +2 hatj +3hatk` and `vec(B) = 2hati - hatj` are perpendicular to each other.

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For what value of a are the vectors vec(A) = a hati - 2hatj +hatk and vec(B) = 2a hati +a hat j - 4hatk perpendicular to each other ?

Find the value of lambda so that the vectors vec(A) = 2hati + lambda hatj +hatk and vec(B) = 4hati - 2hatj - 2hatk are perpendicular to each other.

Prove that the vectors vec(A) = 4 hati +3hatj +hatk and vec(B) = 12 hati + 9 hatj +3 hatk are parallel to each other.

Prove that the vectors vec(A) = 2hati - 3hatj - hatk and vec(B) =- 6 hati + 9hatj +3hatk are parallel.

What is the value of a, if two vectors vec P =hati+12 hatj+hatk and vec Q =2hati-ahatj+4hatk are perpendicular to each other ?

For what value of x , will the two vector A= 2hati + 2hatj -x hatk and B =2 hati - hatj - 3hatk are perpendicular to each other ?

What is the projection of vec(A) = hati + hatj+ hatk on vec(B) = (hati + hatk)

If vector vecP=a hati + a hatj +3hatk and vecQ=a hati -2 hatj -hatk are perpendicular to each other , then the positive value of a is

For what value of lamda are the vectors veca=2hati+lamda hatj+hatk and vecb=hati-2hatj+3hatk perpendicular to each other ?

Find the angle between the vertors vec(A) = hati + 2hatj - hatk and vec(B) = - hati +hatj - 2hatk .

SL ARORA-VECTORS-Example

Four persons K,L,M,N are initially at the four corners of a square of ...
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Calculate the resultant of the following forces acting at a point, mak...
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Prove that the vectors vec(A) = hati +2 hatj +3hatk and vec(B) = 2hati...
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Find the value of lambda so that the vectors vec(A) = 2hati + lambda h...
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If the magnitudes of two vectors are 3 and 4 and their scalar product ...
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A body acted upon by a force of 50N is displaced through a distance of...
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A body constrained to move along the z-axis of a co-ordinate system is...
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A forc of 7hati + 6hatk newton makes a body move on a rough plane with...
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Three vectors vec(A),vec(B) and vec(C) are such that vec(A) = vec(B)+v...
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If |vec(A)+vec(B)| = |vec(A)-vec(B)|, find the angle between vec(A) an...
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If vector P, Q and R have magnitude 5,12,and 13 units and vec(P)+vec(Q...
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Determine the angles which the vector vec(A) = 5 hati + 0 hatj +5hat...
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If hati and hatj are unit vectors along X-and Y-axis respective, then ...
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Find the components of vec(a) = 2hati +3hatj along the direction of ve...
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If unit vectors hat(a) and hat(b) are inclined at angle theta, then pr...
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If vec(A) +vec(B) = vec(C) and A^(2) +B^(2) = C^(2), then prove that v...
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Calculate the area of the parallelogram whose two adjacent sides are f...
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If vec(A) and vec(B) denpte the sides of a parallelogram and its area ...
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Determine a unit vecor perpendicular to both vec(A) = 2 hati +hatj +ha...
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Find a vector whose length is 7 and which is perpendicular to each of ...
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