Three vectors , and are given such that = , = & = 4 i + 3 j . Two or more vectors are given…

Question

Three vectors  ,  and  are given such that  =  ,  =  &  = 4 i + 3 j . Two or more vectors are given in column–I. Match column-I will column–II.
Column-IColumn-II(i) , and ×[A] all are unit vectors(ii) , and[B] all are mutually                                perpendiculars(iii) × and [C] are collinear vectors(iv) ×& +[D] are coplanar vectors

CGP EDU Academic Team · Accepted Answer

The correct answer is (i) [A]; (ii) [D]; (iii) [A]; (iv) [B]. Ans.
(i) [A], [B]
(ii) [D]
(iii) [A], [B], [D]
(iv) [B], [D]
Sol.
(i)  ,  are mutually perpendicular unit vector. Also  ×  is a unit vector perpendicular to  &  .
(ii)  ,  ,  are in same x, y plane so coplanar.
(iii)  ×  and  are mutually perpendicular unit vector and coplanar.
(iv)  ×  and (  +  ) are mutuallyperpendicular and coplanar.

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Column-I	Column-II
(i) , and ×	[A] all are unit vectors
(ii) , and	[B] all are mutually perpendiculars
(iii) × and	[C] are collinear vectors
(iv) ×& +	[D] are coplanar vectors

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