Worksheet: Angle between Two Straight Lines in Space
In this worksheet, we will practice finding the angle between two straight lines in three dimensions using the formula.
Q2:
Find, to the nearest second, the measure of the angle between the straight line and the positive direction of the -axis.
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Q3:
Determine, to the nearest second, the measure of the angle between the two lines that have direction ratios of and .
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Q4:
Find the measure of the angle between the straight line , and the straight line , .
Q5:
Find, to the nearest second, the measure of the angle between the two straight lines and .
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Q6:
Find the measure of the angle between the two straight lines , , and , and round it to the nearest second.
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Q7:
Find the measure of the angle between the two straight lines whose direction cosines are and . Give your answer to the nearest second.
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Q8:
Find the measure of the angle between the two straight lines and .
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Q9:
If , and , , then find the value of .
Q10:
Given that a straight line passes through the origin and the point , determine the exact value of .
Note that is the measure of the angle between the straight line and the positive direction of the -axis.
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Q11:
If a straight line makes direction angles of measures with the -axis and with the -axis, then find the direction angle it makes with the -axis.
Q12:
Find, to the nearest second, the measure of the angle between the straight line and the positive direction of the -axis.
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Q13:
Find, to the nearest second, the measure of the angle between the straight line and the positive direction of the -axis.
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Q14:
Find, to the nearest second, the measure of the angle between the two straight lines and .
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Q15:
Find, to the nearest second, the measure of the angle between the two straight lines and .
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Q18:
Which of the following gives the direction cosines of a straight line?
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Q20:
If the direction angles of a straight line are , , and , then find the value of .