Angle between Vectors

Practice Questions

Calculus 3 › Angle between Vectors

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1

Find the angle between the two vectors

2

Find the angle in degrees between the vectors $<1,1>, <\pi^e,e^{\pi}>$ .

3

Find the angle between the following vectors (to two decimal places):

$\mathbf{v}=[-2, 4, -1],;\mathbf{w}=[3, 1, -5]$

4

Find the angle between the two vectors.

$v=<\sqrt{3}, 1>$

5

Find the angle between vectors $a=\left \langle 1,0,3\right \rangle$ and $b=\left \langle 2,1,1\right \rangle$ . Use the dot product when finding the solution.

6

What is the angle to the nearest degree between the vectors and ?

7

Find the angle $\theta$ to the nearest degree between the two vectors

8

Find the angle between the vectors and if $a=\left \langle 0,1,2\right \rangle$ and $b=\left \langle 1,0,1\right \rangle$ . Hint: Do the dot product between the vectors to start.

9

Find the angle between the vectors $a=\left \langle 3,0,2\right \rangle$ and $b=\left \langle 1,2,4\right \rangle$ , given that $a\cdot b=11$ .

10

Find the approximate angle in degrees between the vectors $<1, e, e^2>, <e, \sqrt{e}, \sqrt[3]{e}>$ .

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