First slide

Straight lines in 3D

Question

The angle between the lines $\frac{x - 1}{2} = \frac{y - 2}{1} = \frac{z + 3}{2}$ and $\frac{x}{1} = \frac{y}{1} = \frac{z}{0}$ is

Moderate

A

$0^{0}$
B

$30^{0}$
C

$45^{0}$
D

$90^{0}$

Solution

Use formula, $\cos θ = \frac{| a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2} |}{\sqrt{a_{_{1}}^{2} + b_{_{1}}^{2} + c_{_{1}}^{2}} \sqrt{a_{_{2}}^{2} + b_{_{2}}^{2} + c_{_{2}}^{2}}}$

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