Consider the following statements : 1. The magnitude of a b is same as the area of a triangle with sides a and b 2. If a b = 0 where a 0 , b 0 , then a = b Which of the above statements is/are correct?

NDA 2019 Mathematics question

Consider the following statements : 1. The magnitude of is same as the area of a triangle with sides and 2. If where , , then 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

is the area of the parallelogram with adjacent sides ; the triangle has half this area, so statement 1 is incorrect. If

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Question ID VK-029100