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

Promotional Banner

Similar Questions

Explore conceptually related problems

Suppose that vec p, vec q and vec r are three non-coplanar vectors in R^3. 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 2vec x+vec y+vec z is

Prove that [vec(p) - vec(q) vec(q) - vec(r) vec(r) - vec(p)] = 0

If vec(P) + vec(Q) = vec(R ) and vec(P) - vec(Q) = vec(S) , then R^(2) + S^(2) is equal to

if vec(P) xx vec(R ) = vec(Q) xx vec(R ) , then

If vec(p), vec(q) and vec(r) are perpendicular to vec(q) + vec(r), vec(r) + vec(p) and vec(p) + vec(q) respectively and if |vec(p) + vec(q)| = 6, |vec(q) + vec(r)| = 4sqrt(3) and |vec(r) + vec(p)| = 4 , then |vec(p) + vec(q) + vec(r)| is

Let vec(p),vec(q),vec(r) be three unit vectors such that vec(p)xxvec(q)=vec(r) . If vec(a) is any vector such that [vec(a)vec(q)vec(r )]=1,[vec(a)vec(r)vec(p )]=2 , and [vec(a)vec(p)vec(q )]=3 , then vec(a)=

Let vec(p),vec(q),vec(r) be three unit vectors such that vec(p)xxvec(q)=vec(r) . If vec(a) is any vector such that [vec(a)vec(q)vec(r )]=1,[vec(a)vec(r)vec(p )]=2 , and [vec(a)vec(p)vec(q )]=3 , then vec(a)=

Three vectors vec(P) , vec(Q) and vec( R) are such that |vec(P)| , |vec(Q )|, |vec(R )| = sqrt(2) |vec(P)| and vec(P) + vec(Q) + vec(R ) = 0 . The angle between vec(P) and vec(Q) , vec(Q) and vec(R ) and vec(P) and vec(R ) are