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Lesson Worksheet: Cross Product in 2D Mathematics

In this worksheet, we will practice finding the cross product of two vectors in the coordinate plane.

Q1:

Given that A=2,7 and B=3,8, determine the area of the parallelogram whose adjacent sides are represented by A and B.

Q2:

If 𝐴𝐵𝐶𝐷 is a square with a side length of 81 cm, and e is a unit vector perpendicular to its plane, find 𝐴𝐵×𝐵𝐶.

  • A6,561e
  • B13,122e
  • C162e
  • D81e

Q3:

𝐴𝐵𝐶𝐷 is a rectangle where K is a unit vector perpendicular to its plane. Find 𝐶𝑀×𝐶𝐵.

  • A6052K
  • B726K
  • C726K
  • D6052K

Q4:

Find the area of a triangle 𝐴𝐵𝐶, where 𝐴(8,9), 𝐵(7,8), and 𝐶(9,2).

Q5:

If 𝐴𝐵𝐶 is a triangle of area 248.5 cm2, find the value of ||𝐵𝐴×𝐴𝐶||.

Q6:

If |×|+||=17,424ABAB and ||=12A, find ||B.

Q7:

Given that Aij=7+2, Bij=+2, and Cij=6+6, determine (+)×CAB.

  • A30k
  • B34k
  • C30k
  • D3k

Q8:

Given that Aij=+, Bij=3, and Cij=5+3, determine ()×ABC.

  • A16k
  • B16k
  • C4k
  • D4k
  • E14k

Q9:

If Aij=2, Bij=44, ACk×=3, and CBk×=4, find C.

  • Aij+5
  • B2ij
  • Cij
  • D5ij

Q10:

If Aij=35, Bij=𝑚+5, and ABk×=50, find the value of 𝑚.

This lesson includes 20 additional questions and 197 additional question variations for subscribers.

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