# Worksheet: Direction Cosines of a Straight Line

In this worksheet, we will practice finding the direction cosine of a vector or a straight line from the direction ratios or that of a normal to a plane given the plane equation.

Q1:

Which of the following gives the direction cosines of a straight line?

• A
• B
• C
• D
• E

Q2:

Find the direction cosines of the straight line whose direction ratio is .

• A ,
• B ,
• C ,
• D ,
• E ,

Q3:

The given figure represents a vector whose norm is 5 units. Find the measure of the direction angles of rounded to one decimal place.

• A , ,
• B , ,
• C , ,
• D , ,

Q4:

Suppose that and has direction cosines , , and . Determine , where .

• A
• B
• C
• D

Q5:

Find the direction cosines of the normal to the plane .

• A
• B
• C
• D

Q6:

If the direction cosines of a straight line are , then find the possible values of .

• A3,
• B ,
• C2,
• D ,

Q7:

Given that , , and are the direction cosines of a straight line, find the value of .

Q8:

If the direction angles of a straight line are , , and , then find the value of .

Q9:

Find the direction cosines of the straight line whose direction ratio is .

• A ,
• B ,
• C ,
• D ,
• E ,

Q10:

Find the direction cosines of the normal to the plane .

• A
• B
• C
• D

Q11:

Find the direction cosines of the normal to the plane .

• A
• B
• C
• D

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