Home
Class 12
MATHS
If vec(a),vec(b), vec(c) be three non...

If `vec(a),vec(b), vec(c)` be three non - zero vectors satisfying the condition `vec(a) xx vec(b) = vec(c) and vec(b) xx vec(c) = vec(a)` , then .

A

`vec(a), vec(b),vec(c)` are orthogonal is pairs

B

`[vec(a),vec(b),vec(c)] = [vec(a)]^(2)`

C

`[vec(a) vec(b) vec(c)] =[vec(c)]`

D

`|vec(b)| = |vec(c)|`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    MOTION|Exercise EXERCISE - 3|38 Videos

  • VECTOR

    MOTION|Exercise EXERCISE - 4 ( LEVEL -I)|36 Videos

  • VECTOR

    MOTION|Exercise EXERCISE - 2 ( LEVEL -I)|21 Videos

  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

If vec(a), vec(b), vec(c ) are three vectors such that vec(a)xx vec(b)=vec(c ), vec(b)xx vec(c )=vec(a) , prove that vec(a), vec(b), vec(c ) are mutually at right angles and |vec(b)|=1, |vec(c )|=|vec(a)| .

If vec( a) , vec( b) , vec( c ) are non coplanar non-zero vectors such that vec( b) xxvec( c) = vec( a ), vec( a ) xx vec( b) =vec( c ) and vec( c ) xx vec( a ) = vec ( b ) , then which of the following is not true

If the vectors vec(a), vec(b) and vec(c ) satisfy the condition vec(a)+vec(b)+vec(c )=vec(0) and |vec(a)|=3, |vec(b)| =4 and |vec(c )|=5 , then show that vec(a).vec(b)+vec(b).vec(c )+vec(c ). vec(a)=-25 .

If vec(a),vec(b),vec(c) are three non-coplanar unit vector such that [vec(a),vec(b),vec(c)]=3 then [ vec(a) times vec(b), vec(b) times vec (c),vec(c) times vec(a) ] equals

Let vec a, vec b, vec c be three non-zero vectors such that [vec with bvec c] = | vec a || vec b || vec c | then

If vec(a), vec(b), vec(c ) are three vectors such that vec(a)+vec(b)+vec(c )=0 , then prove that : vec(a)xx vec(b)=vec(b)xx vec(c )=vec(c )xx vec(a) and hence, show that [vec(a)vec(b)vec(c )]=0 .

If vec(b) and vec(c) are two non-collinear vectors such that vec(a) || (vec(b) xx vec(c)) , then (vec(a) xx vec(b)).(vec(a) xx vec(c)) is equal to

If vec a,vec b,vec c be any three non-zero non coplanar vectors and vectors vec p=(vec b xx vec c)/(vec a.vec b xx vec c),vec q=(vec c xx vec a)/(vec a.vec b xx vec c) vec r=(vec a xx vec b)/(veca.vec b xx vec c), then [vec p vec q vec r] equals -

If vec(a), vec(b) and vec(c ) are mutually perpendicular unit vectors and vec(a)xx vec(b)=vec(c ) , show that vec(b)=vec(c )xx vec(a) and vec(a)=vec(b)xx vec(c ) .

The vectors vec(a), vec(b), vec(c ) and vec(d) are such that vec(a) xx vec(b) = vec(c ) xx vec(d) and vec(a) xx vec(c )= vec(b) xx vec(d) . Which of the following is/are correct? 1. (vec(a)- vec(d)) xx (vec(b) - vec(c ))= vec(0) 2. (vec(a) xx vec(b))xx (vec(c ) xx vec(d))= vec(0) Select the correct answer using the codes given below