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

Worksheet: Finding the Direction Cosines of a Straight Line or of the Normal to a Plane • 25 Questions

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