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