Let a , b , c be three non-zero vectors such that a b = c . Consider the following statements : 1. a is unique if b and c are given 2. c is unique if a and b are given Which of the above statements is/are correct?

NDA 2022 Mathematics question

Let , , be three non-zero vectors such that . Consider the following statements : 1. is unique if and are given 2. is unique if and are given Which of the above statements is/are correct?

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

Answer: (B)

Solution

1: if , then for any scalar , . So infinitely

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Question ID VK-029390