Two vector vec A = 5hati+7hatj-3hatk and...

Two vector `vec A = 5hati+7hatj-3hatk and vec B=2hati+2hatj-alphahatk` are mutually perpendicular to each other. What is the value of `alpha` ?

Text Solution

AI Generated Solution

Topper's Solved these Questions

Motion in a Plane
SL ARORA|Exercise Excercise|397 Videos
Motion in a Plane
SL ARORA|Exercise Excercise|397 Videos
MECHANICS
SL ARORA|Exercise Exercise|341 Videos
MOTION IN ONE DIMENSION
SL ARORA|Exercise problems for self practice|66 Videos

Similar Questions

Explore conceptually related problems

If vecA= 4hati-2hatj+4hatk and vecB= -4hati+2hatj+alphahatk are perpendicular to each other then find value of alpha ?

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

If vecA=4veci-2hatj+4hatk and vecB=-4hati+2hatj+alphahatk are perpendicular to each other then find value of (alpha) ?

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

prove that the vectors A=2hati-3hatj+hatk and B=hati+hatj + hatk are mutually perpendicular .

Two vectors vecA=3hati+2hatj+hatk" and "vecB=5hatj-9hatj+Phatk are perpendicular to each other. The value of 'P' is :-

Two vectors vec(P)andvec(Q) are given vec(P)=5hati+7hatj-3hatkandvec(Q)=2hati+2hatj-ahatk. If they are mutually perpendicular then value of 'a' is

The two vectors A=2hati+hatj+3hatk and B=7hati-5hatj-3hatk are -

For the two vectors vecA=2hati-hatj and vecB=hati + alpha hatj+3hatk , perpendicular to each other , find the value of a .

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 ?

SL ARORA-Motion in a Plane-Example

Find the angle between the vertors vec(A) = hati + 2hatj - hatk and ve...
Text Solution
|
Prove that the vectors vec(A) = hati +2 hatj +3hatk and vec(B) = 2hati...
Text Solution
|
Two vector vec A = 5hati+7hatj-3hatk and vec B=2hati+2hatj-alphahatk a...
Text Solution
|
If the magnitudes of two vectors are 3 and 4 and their scalar product ...
Text Solution
|
A body constrained to move along the z-axis of a co-ordinate system is...
Text Solution
|
A force of 7 hati+ 6 hatk newton makes a body move on a rough plane wi...
Text Solution
|
Three vectors vec(A),vec(B) and vec(C) are such that vec(A) = vec(B)+v...
Text Solution
|
If |vec A + vec B|=|vec A-vecB|, finf the angle between vec A and vec ...
Text Solution
|
If vector P, Q and R have magnitude 5,12,and 13 units and vec(P)+vec(Q...
Text Solution
|
Determine the angles which the vector vec(A) = 5 hati + 0 hatj +5hat...
Text Solution
|
If unit vectors hat(a) and hat(b) are inclined at angle theta, then pr...
Text Solution
|
If vec(A) +vec(B) = vec(C) and A^(2) +B^(2) = C^(2), then prove that v...
Text Solution
|
Motion in two dimensions, in a plane can be studied by expressing posi...
Text Solution
|
Prove that the vectors vec(A) = 2hati - 3hatj - hatk and vec(B) =- 6 h...
Text Solution
|
Calculate the area of a paralleleogram whose two adjacent sides are fo...
Text Solution
|
If vec(A) and vec(B) denpte the sides of a parallelogram and its area ...
Text Solution
|
The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and...
Text Solution
|
Find a unit vector perpendicular to each one of the vectors vec(a) = 4...
Text Solution
|
Determine the sine of the angle between the vectors ( 3 hat i+ 3hat j+...
Text Solution
|
Show that (vec(A) - vec(B)) xx (vec(A) +vec(B)) = 2(vec(A) xx vec(B))
Text Solution
|