# Worksheet: Finding the Direction Cosines of a Straight Line or of the Normal to a Plane

Q1:

Find the direction cosines of the vector .

• A
• B
• C
• D

Q2:

Find the direction cosines of the vector .

• A
• B
• C
• D

Q3:

The direction angles of are , , and . Which of the following planes contains ?

• A
• B
• C

Q4:

The direction angles of are , , and . Which of the following planes contains ?

• A
• B
• C

Q5:

Find vector whose norm is 41 and whose direction angles are .

• A
• B
• C
• D

Q6:

Find vector whose norm is 21 and whose direction angles are .

• A
• B
• C
• D

Q7:

The vector has length 10. Write this vector using , , and , with components accurate to two decimal places.

• A
• B
• C
• D

Q8:

The vector has length 13. Write this vector using , , and , with components accurate to two decimal places.

• A
• B
• C
• D

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 straight line whose direction ratio is .

• A,
• B,
• C,
• D,
• E,

Q11:

Find the direction cosines of the vector that lies in the positive coordinate plane and makes an angle of with the positive -axis.

• A
• B
• C
• D
• E

Q12:

Find the direction cosines of the vector that lies in the positive coordinate plane and makes an angle of with the positive -axis.

• A
• B
• C
• D
• E

Q13:

Find the direction cosines of the vector that lies in the positive coordinate plane and makes an angle of with the positive -axis.

• A
• B
• C
• D
• E

Q14:

Find the direction cosines of the vector that lies in the positive coordinate plane and makes an angle of with the positive -axis.

• A
• B
• C
• D
• E

Q15:

Find the direction cosines of the vector that lies in the positive coordinate plane and makes an angle of with the positive -axis.

• A
• B
• C
• D
• E

Q16:

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

• A
• B
• C
• D
• E

Q17:

Find the direction angles of the vector .

• A
• B
• C
• D
• E

Q18:

Find the direction angles of the vector .

• A
• B
• C
• D
• E

Q19:

Find the direction angles of the vector .

• A
• B
• C
• D

Q20:

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

• A, ,
• B, ,
• C, ,
• D, ,

Q21:

If , find the size of the angle that makes with the positive direction of the -axis approximated to the nearest second.

• A
• B
• C
• D