KARNATAKA-2nd-PUC-2023-Mathematics-Sample-Paper
KARNATAKA 2nd PUC 2023 Mathematics Sample Paper
Question 7
The projection of vector $\overrightarrow{AB}$ on the directed line $l$, if angle $\theta = \pi$ will be
Solution
The correct answer is $\overrightarrow{BA}$
Explanation
Let the projection of vector $\overrightarrow{AB}$ on the directed line $l$ be $\overrightarrow{p}$
∴ $\overrightarrow{p}$ = $|\overrightarrow{AB}|$ $cos \theta$
=$|\overrightarrow{AB}|$ $cos \pi$
=$|\overrightarrow{AB}|$ $(-1)$
=$\overrightarrow{BA}$
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