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(i) vec a and vec -a are collinear...

(i) `vec a` and `vec -a` are collinear

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(i)True


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Vectors vec a and vec b are non-collinear. Find for what value of n vectors vec c=(n-2) vec a+ vec b and vec d=(2n+1) vec a- vec b are collinear?

Let vec a , vec b ,a n d vec c be non-zero vectors and vec V_1= vec axx( vec bxx vec c)a n d vec V_2( vec axx vec b)xx vec cdot Vectors vec V_1a n d vec V_2 are equal. Then vec aa n vec b are orthogonal b. vec aa n d vec c are collinear c. vec ba n d vec c are orthogonal d. vec b=lambda( vec axx vec c)w h e nlambda is a scalar

Knowledge Check

  • If vec a and vec b are collinear vectors, then which of the following are incorrect?

    A
    `vec b = lambda vec a`, for some scalar `lambda`
    B
    `vec a = pm vec b`
    C
    The respective components of `vec a` and `vec b` are proportional.
    D
    Both the vectors `vec a` and `vec b` have the same direction, but different magnitudes.

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