Home
Class 12
MATHS
vec p , vec q ,a n d vec r are three mut...

` vec p , vec q ,a n d vec r` are three mutually perpendicular vectors of the same magnitude. If vector ` vec x` satisfies the equation ` vec pxx(( vec x- vec q)xx vec p)+ vec qxx(( vec x- vec r)xx vec q)+ vec rxx(( vec x- vec p)xx vec r)=0,t h e n vec x` is given by `1/2( vec p+ vec q-2 vec r)` b. `1/2( vec p+ vec q+ vec r)""` c. `1/3( vec p+ vec q+ vec r)` d. `1/3(2 vec p+ vec q- vec r)`

A

`(1)/(2) (p+q-2r)`

B

`(1)/(2) (p+q+r)`

C

`(1)/(3) (p+q+r)`

D

`(1)/(3) (2p+q-r)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

vec p,vec q, and vec r are three mutually perpendicular vectors of the same magnitude.If vector vec x satisfies the equation vec p xx((vec x-vec q)xxvec p)+vec q xx((vec x-vec r)xxvec q)+vec r xx((vec x-vec p)xxvec r)=0,thenvec x is given by a.(1)/(2)(vec p+vec q-2vec r) b.(1)/(2)(vec p+vec q+vec r) c.(1)/(3)(vec p+vec q+vec r) d.(1)/(3)(2vec p+vec q-vec r)

If vec P xx vec Q= vec R, vec Q xx vec R= vec P and vec R xx vec P = vec Q then

Let vec(a), vec(b), vec(c) be three vectors mutually perpendicular to each other and have same magnitude. If a vector vec(r) satisfies vec(a) xx {(vec(r) - vec(b)) xx vec(a)} + vec(b) xx {(vec(r) - vec(c)) xx vec(b)} + vec(c) xx {(vec(r) - vec(a)) xx vec(c)} = vec(0) , then vec(r) is equal to :

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

If vec p xxvec q=vec r and vec p*vec q=c, then vec q is

Prove that [vec a xxvec p, vec b xxvec q, bar (c) xxbar (r)] + [vec a xxvec q, vec b xxvec r, vec c xxvec p] + [vec a xxvec r, vec b xxvec p , vec c xxvec q]

If vec p + vec q + vec r = xvec s and vec q + vec r + vec s = yvec p and are vec p, vec q, vec r non coplaner vectors then | vec p + vec q + vec r + vec r + vec s | =

What is the anlge between vec P xx vec Q and vec Q xx vec P is

Solve the vector equation in vec(x): vec(x) + vec(x) xx vec(a) = vec(b) .

If vec r=3vec p+4vec q and 2vec r=vec p-3vec q then