Home
Class 12
MATHS
Suppose that vec(p), vec(q) and vec(r) a...

Suppose that `vec(p), vec(q) and vec(r)` are three non-coplanar vectors in R. Let the components of a vector `vec(s)` along `vec(p), vec(q) and vec(r)` be 4, 3 and 5 respectively. If the components of this vector `vec(s) " along" (-vec(p) + vec(q) + vec(r)), (vec(p) - vec(q) + vec(r)) and (-vec(p) - vec(q) + vec(r))` are x,y and z respectively, then the value of `2x + y + z` is

Text Solution

Verified by Experts

The correct Answer is:
9
Promotional Banner

Topper's Solved these Questions

  • ARCHIVE

    CHHAYA PUBLICATION|Exercise JEE Main (AIEEE) Archive|6 Videos
  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE ADVANCED ARCHIVE 2016|5 Videos
  • BINARY OPERATION

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Suppose that vec p,vecqand vecr are three non- coplaner in R^(3) ,Let the components of a vector vecs along vecp , vec q and vecr be 4,3, and 5, respectively , if the components this vector vec s along (-vecp+vec q +vecr),(vecp-vecq+vecr) and (-vecp-vecq+vecr) are x, y and z , respectively , then the value of 2x+y+z is

For non-zero vectors vec(a) and vec(b), " if " |vec(a) + vec(b)| lt |vec(a) - vec(b)| , then vec(a) and vec(b) are-

For the vector vec(a) and vec (b) if |vec(a) + vec(b)| = |vec(a) - vec(b)| , show that vec(a) and vec (b) are perpendicular

If vec(p) is a unit vector and ( vec (x) - vec(p)). (vec(x)+vec(p)) = 8 , then find |vec (x)|

If vec(p) is a unit and (vec(x) - vec (p)) . (vec(x)+ vec (p)) = 80 then find |vec(x)|

If vec(x), vec(y), vec(z) are three vectors, show that the points having positive vectors 7vec(x) - vec(z), vec(x) + 2vec(y) + 3vec(z) and -2vec(x) + 3vec(y) + 5vec(z) are collinear

If vec(a),vec(b),vec (c ) are non - coplanar vectors vec (r) . vec(a) = vecr . vec(b) = vecr.vec(c ) = 0 , show that vec (r ) is a zero vector .

Let vec(a), vec(b) and vec(c) be three non-coplanar unit vectors such that the angle between every pair of them is (pi)/(3) . If vec(a) xx vec(b) + vec(b) xx vec(c) = pvec(a) + qvec(b) + rvec(c) , where p, q and r are scalars, then the value of (p^(2) + 2q^(2) + r^(2))/(q^(2)) is

If two vectors vec(a) and vec (b) are such that |vec(a) . vec(b) | = |vec(a) xx vec(b)|, then find the angle the vectors vec(a) and vec (b)