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If for two vectors vec(A) and vec(B), ve...

If for two vectors `vec(A)` and `vec(B), vec(A)xxvec(B)=0`, the vectors

A

Are perpendicular to each other

B

Are parallel to each other

C

Act at an angle of `60^(@)`

D

Act at an angle of `30^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B

`vec(A)xxvec(B)= 0 :. Sin theta= 0 implies theta= 0^(@)`
Two vectors will be parallel to each other.
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Knowledge Check

  • Statement-I : The angle between vectors vec(A)xxvec(B) and vec(B)xxvec(A) is pi radian. Statement-II : vec(B)xxvec(A)=-vec(A)xx vec(B)

    A
    Statement-I is true, Statement-II is true, Statement-II is correct explanation for statement-I
    B
    Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for statement-I
    C
    Statement-I is true, Statement-II is false.
    D
    Statement-I is false and Statement-II is true.
  • The angle between Vectors (vec(A)xxvec(B)) and (vec(B)xxvec(A)) is

    A
    Zero
    B
    `pi`
    C
    `pi//4`
    D
    `pi//2`
  • If vec(a) and vec(b) are two unit vectors, then the vector (vec(a) + vec(b)) xx (vec(a) xx vec(b)) is parallel to

    A
    `(hat(a)- hat(b))`
    B
    `(hat(a)+ hat(b))`
    C
    `(2 hat(a) - hat(b))`
    D
    `(2 hat(a) + hat(b))`
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