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Slope Intercept Form of a Line

The vector ...

Question

The vector $\to A = \to i + \to j$ where $\to i, \to j$ are unit vectors along X and Y axes respectively makes an angle of ______ with X-axis.

A

0

^{o}

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B

45

^{o}

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C

60

^{o}

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D

90

^{o}

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Solution

The correct option is B 45 $^{o}$
Angle of $\to i + \to j$ with $x$ axis is ${tan}^{- 1} \frac{x}{y}$ which is ${tan}^{- 1} \frac{1}{1}$ , hence $45$ degrees.

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