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JEE • MATHEMATICS • DOT PRODUCT OF VECTORS

Dot product of vectors practice · Easy

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Application +4 | -1
If a^,b^\hat{a}, \hat{b} and c^\hat{c} are unit vectors satisfying a^−3b^+c^=0→\hat{a}-\sqrt{3} \hat{b}+\hat{c}=\overrightarrow{0}, then the angle between the vectors a^\hat{a} and c^\hat{c} is :
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Correct option: B
π3\frac{\pi}{3}
Option B (π3\frac{{\pi}}{{3}}) is correct because by rearranging the given equation and using the properties of dot products with unit vectors, we can find the angle between a^\hat{a} and c^\hat{c}.
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