Let a , b and c be three vectors such that a , b and c are coplanar. Which of the following is/are correct? 1. ( a b ) c is coplanar with a and b 2. ( a b ) c is perpendicular to a b Select the correct answer using the code given below.

NDA 2021 Mathematics question

Let , and be three vectors such that , and are coplanar. Which of the following is/are correct? 1. is coplanar with and 2. is perpendicular to Select the correct answer using the code given below.

(A)1 only
(B)2 only
(C)Both 1 and 2Correct
(D)Neither 1 nor 2

Answer: (C)

Solution

Statement 1: by the vector triple product expansion, , a linear combination of and . So it lies in the plane of and ; correct. Statement 2:

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Question ID VK-033680