Lesson Worksheet: The Angle between Two Vectors in the Coordinate Plane Mathematics

In this worksheet, we will practice using the dot product to find the angle between two nonzero vectors in a plane.

Q1:

If ||=10A and ||=17B, where the measure of the angle between A and B is 120, find (+)(2)ABAB correct to the nearest hundredth.

Q2:

Suppose 𝐴𝐵𝐶𝐷 is a square of side 47. Determine 𝐴𝐵𝐴𝐶.

Q3:

Suppose a rectangle 𝐴𝐵𝐶𝐷 with 𝐴𝐵=32 and 𝐵𝐶=11. Determine 𝐴𝐶𝐵𝐷.

Q4:

Find the value of 𝜃 approximated to the nearest hundredth.

Q5:

AB=.

  • A||||AB
  • B||+||AB
  • C||||𝜃ABtan
  • D||||𝜃ABcos
  • E||||𝜃ABsin

Q6:

If A and B satisfy AB=0, how are the two vectors related?

  • Aperpendicular
  • Bparallel

Q7:

Consider a square 𝐴𝐵𝐶𝐷 of side 32.6. Determine 𝐴𝐷𝐴𝐶.

Q8:

In a rectangle 𝐴𝐵𝐶𝐷, 𝐴𝐵=7.7 and 𝐵𝐶=3.8. Determine 5𝐴𝐵𝐴𝐶.

Q9:

If 𝐴𝐵𝐶𝐷𝐸𝐹 is a regular hexagon whose side is 7.1, find 𝐶𝐴+𝐴𝐹𝐴𝐷.

Q10:

If 𝐴𝐵𝐶𝐷𝐸𝐹 is a regular hexagon whose side is 9.6, find 𝐴𝐵𝐸𝐹𝐴𝐷.

This lesson includes 24 additional questions and 207 additional question variations for subscribers.

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