Consider the following statements in respect of a vector d=( a b) c : I. d is coplanar with a and b. II. d is perpendicular to c. Which of the statements given above is/are correct?

NDA 2025 Mathematics question

Consider the following statements in respect of a vector : I. is coplanar with and . II. is perpendicular to . Which of the statements given above is/are correct?

(A)I only
(B)II only
(C)Both I and IICorrect
(D)Neither I nor II

Answer: (C)

Solution

Using the vector triple product, . This is a linear combination of and , so lies in the plane of

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Question ID VK-030078