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3-1.Vectors
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$\overrightarrow A $ and $\overrightarrow B $ are two vectors given by $\overrightarrow A = 2\widehat i + 3\widehat j$ and $\overrightarrow B = \widehat i + \widehat j$. The magnitude of the component (projection) of $\overrightarrow A$ on $\overrightarrow B$ is
A
$5 / \sqrt 2$
B
$3 / \sqrt 2$
C
$7 / \sqrt 2$
D
$1 / \sqrt 2$
Solution
Component of $\overrightarrow{\mathrm{A}}$ on $\overrightarrow{\mathrm{B}}=\frac{\overrightarrow{\mathrm{A}} \cdot \overrightarrow{\mathrm{B}}}{|\overrightarrow{\mathrm{B}}|}=\frac{2+3}{\sqrt{2}}=\frac{5}{\sqrt{2}}$
Standard 11
Physics
