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CBSE Class 12 Mathematics 2026 Main Paper 65/2/3 · Q181 Marksdirection_cosines

CBSE Class 12 Mathematics 2026 Main Paper 65/2/3 · Question 18 (Vector Algebra)

Which vector of magnitude 3 makes equal angles with the x- and y-axes and is perpendicular to the z-axis?

(A) (1,2√2,0)
(B) (0,0,3)
(C) (3√2/2,3√2/2,0)
(D) (√3,√3,√3)

✅ Step-by-Step Solution

Final Answer: (3√2/2,3√2/2,0)

Its first two components must be equal and its third zero. The listed positive choice has components 3/√2 and 3/√2.

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