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CBSE Class 12 Math 2023 Delhi Set 3 Solved Paper

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Question : 11 of 12
Marks: +1, -0
(a) Find the coordinates of the foot of the perpendicular drawn from point (5,7,3)(5,7,3) to the line   x−153=  y−298=  z−5−5\; \frac{x-15}{3} = \; \frac{y-29}{8} = \; \frac{z-5}{-5}.
OR
(b) If a⃗=i^+j^+k^\vec{a} = \hat{i} + \hat{j} + \hat{k} and b⃗=i^+2j^+3k^\vec{b} = \hat{i} + 2\hat{j} + 3\hat{k} then find a unit vector perpendicular to both a⃗+b⃗\vec{a} + \vec{b} and a⃗−b⃗\vec{a} - \vec{b}.
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