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CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7 · Q91 Marksdirection_cosines

CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7 · Question 9 (Three Dimensional Geometry)

Find the direction cosines of AB for A=(3,5,1), B=(1,1,5).

(A) (−2,−4,4)
(B) (−1/3,−2/3,2/3)
(C) (−1/2,−1,1)
(D) (1/3,2/3,2/3)

✅ Step-by-Step Solution

Final Answer: (−1/3,−2/3,2/3)

AB=(−2,−4,4), whose norm is 6.

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