Home
Class 12
MATHS
Let vec u be a vector coplanar with the ...

Let `vec u` be a vector coplanar with the vectors `vec a = 2 hat i + 3 hat j - hat k` and `vec b= hat j+hatk`. If `vec u` is perpendicular to `vec a` and `vec u.vecb=24` then `|vecu|^2` is equal to

A

336

B

315

C

256

D

84

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise CHAPTER TEST 10|12 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Revision Exercise|10 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

Let vec u be a vector coplanar with the vectors vec a=2hat i+3hat j-hat k and vec b=hat j+hat k If vec u is perpendicular to vec a and vec u.vec b=24 then |vec u|^(2) is equal to

The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and vec B = hat i - hat j + hat k is

let vec a=hat i+hat j-hat k and vec b=hat i-hat j-hat k and vec c be a unit vector perpendicular to vec a and coplanarwith vec a and vec b then vec c is

Let a vector vec(a) be coplanar with vectors vec(b) = 2hat(i) + hat(j) + hat(k) and vec(c) = hat(i) - hat(j) + hat(k) . If vec(a) is perpendicular to vec(d) = 3hat(i) + 2hat(j) + 6hat(k) , and |vec(a)| = sqrt(10) . Then a possible value of [[vec(a),vec(b),vec(c)]] + [[vec(a), vec(b), vec(d)]] + [[vec(a),vec(c),vec(d)]] is equal to :

If vec a=hat i+hat j+hat k and vec b=hat j-hat k, find a vector vec c such that vec a x vec c=vec b and vec a*vec c=3

Find the angle between the vectors vec a and vec b where: vec a=hat i-hat j and vec b=hat j+hat k

Let vec a=hat i-hat j,vec b=3hat j-hat k and vec c=7hat i-hat k. Find a vector vec d which is perpendicular to both widehat a and vec b, and vec c .vec d=1

For given vectors,vec a=2hat i-hat j+2hat k and vec b=-hat i+hat j-hat k find the unit vector in the direction of the vector quad vec a+vec b

If vec a= hat i+ hat j+ hat k , vec c= hat j- hat k , vec adot vec b=3 and vec ax vec b= vec c , then vec b is equal to

Find the angle between the vectors vec a and vec b where: vec a=2hat i-3hat j+hat k and vec b=hat i+hat j-2hat k