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CBSE Class 12 Math 2023 Delhi Set 1 Solved Paper

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Question : 24 of 38
Marks: +1, -0
(a) If the vectors a\vec{a} and b\vec{b} are such that a=3,b=23|\vec{a}|=3,|\vec{b}|=\frac{2}{3} and a×b\vec{a}\times \vec{b} is a unit vector, then find the angle between a\vec{a} and b\vec{b}.
OR
(b) Find the area of a parallelogram whose adjacent sides are determined by the vectors a=i^j^+3k^\vec{a}=\hat{i}-\hat{j}+3\hat{k} and b=2i^7j^+k^\vec{b}=2\hat{i}-7\hat{j}+\hat{k}.
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