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CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/2 · Q121 Marksdot_products

CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/2 · Question 12 (Vector Algebra)

If \((3,-2,4)\) and \((\lambda,1,0)\) are perpendicular, find \(\lambda\).

(A) 3
(B) −3
(C) \(2/3\)
(D) \(-2/3\)

✅ Step-by-Step Solution

Final Answer: \(2/3\)

Their dot product is 3λ−2. Set it to zero.

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