How many of the following can be a vector perpendicular to both the vectors 2 i - j + k and i + j +3 k ? I. 4 i +5 j -3 k II. -8 i -10 j +6 k III. 1 50 (-4 i -5 j +3 k ) Select the correct answer.

NDA 2025 Mathematics question

How many of the following can be a vector perpendicular to both the vectors and ? I. II. III. Select the correct answer.

Answer: (D)

A vector perpendicular to both is parallel to their cross product: . I is

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Question ID VK-030198