# Worksheet: Angle between Two Vectors in Space

Q1:

If , , and , where is a unit vector, find the measure of the angle between and rounded to the nearest minute given .

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Q2:

Find the angle between the vectors and . Give your answer correct to two decimal places.

Q3:

The angle between and is . If , find to the nearest hundredth.

Q4:

Find .

• A0
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Q5:

Find the angle between the vectors and . Give your answer correct to two decimal places.

Q6:

Find the angle between the vectors and .

Q7:

Given that , , and , determine the size of the smaller angle between the two vectors.

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Q8:

Given that and , determine, to the nearest hundredth, the size of the smaller angle between the two vectors.

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Q9:

Given that and , determine, to the nearest hundredth, the size of the smaller angle between the two vectors.

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Q10:

Given , , , and , determine the size of the angle between vectors and approximated to the nearest hundredth.

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Q11:

Given , , , and , determine the size of the angle between vectors and approximated to the nearest hundredth.

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Q12:

Given , , , and , determine the size of the angle between vectors and approximated to the nearest hundredth.

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Q13:

If and , find the size of the angle between the two vectors approximated to the nearest hundredth.

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Q14:

If and , find the size of the angle between the two vectors approximated to the nearest hundredth.

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Q15:

Find the angle between the vectors and .

Q16:

Find the value of given , and where is the angle between the vectors and . Give the answer to two decimal places.

Q17:

Find the angle between the vectors and .

Q18:

Find the angle between the vectors and . Give your answer correct to one decimal place.