Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Lesson: Finding the Angle between Two Straight Lines in Three Dimensions

Worksheet • 17 Questions

Q1:

Find the size of the angle between the straight line , and the straight line , .

  • A
  • B
  • C
  • D
  • E

Q2:

Find, to the nearest second, the size of the angle between the straight line and the positive direction of the -axis.

  • A
  • B
  • C
  • D

Q3:

Find, to the nearest second, the size of the angle between the straight line and the positive direction of the -axis.

  • A
  • B
  • C
  • D

Q4:

Find, to the nearest second, the size of the angle between the straight line and the positive direction of the -axis.

  • A
  • B
  • C
  • D

Q5:

Find, to the nearest second, the size of the angle between the two straight lines and .

  • A
  • B
  • C
  • D

Q6:

Find, to the nearest second, the size of the angle between the two straight lines and .

  • A
  • B
  • C
  • D

Q7:

Find, to the nearest second, the size of the angle between the two straight lines and .

  • A
  • B
  • C
  • D

Q8:

A straight line passes through the two points and , and a straight line passes through the two points and . Find the size of the angle between the two lines, giving your answer to two decimal places if necessary.

  • A
  • B
  • C
  • D
  • E

Q9:

A straight line passes through the two points and , and a straight line passes through the two points and . Find the size of the angle between the two lines, giving your answer to two decimal places if necessary.

  • A
  • B
  • C
  • D
  • E

Q10:

A straight line passes through the two points and , and a straight line passes through the two points and . Find the size of the angle between the two lines, giving your answer to two decimal places if necessary.

  • A
  • B
  • C
  • D
  • E

Q11:

Find the size of the angle between the two straight lines , , and , and approximate it to the nearest second.

  • A
  • B
  • C
  • D

Q12:

Find the size of the angle between the two straight lines whose direction cosines are and . Give your answer to the nearest second.

  • A
  • B
  • C
  • D

Q13:

If ๐ฟ โˆถ ๐‘ฅ = 0 1 , ๐‘ฆ = ๐‘ง and ๐ฟ โˆถ ๐‘ฆ = 0 2 , ๐‘ฅ = ๐‘ง , then find the value of ๐œƒ .

Q14:

Find the size of the angle between the two straight lines and .

  • A
  • B
  • C
  • D

Q15:

Determine, to the nearest second, the size of the angle between the two lines that have direction ratios of and .

  • A
  • B
  • C
  • D

Q16:

Determine, to the nearest second, the size of the angle between the two lines that have direction ratios of and .

  • A
  • B
  • C
  • D

Q17:

Determine, to the nearest second, the size of the angle between the two lines that have direction ratios of and .

  • A
  • B
  • C
  • D
Preview