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Worksheet: Cross Product

Q1:

Let V i = and W i j k = 3 + 2 + 4 . Calculate V W × .

  • A 2 , 0 , 0
  • B 3 , 0 , 0
  • C 4 , 0 , 3
  • D 0 , 4 , 2
  • E 2 , 3 , 0

Q2:

Given that the forces , , and are three parallel forces, find the values of and .

  • A ,
  • B ,
  • C ,
  • D ,

Q3:

If the force is acting at the point , where its moment vector about the point is , determine the value of .

Q4:

and are two vectors, where and . Calculate .

  • A
  • B
  • C
  • D
  • E

Q5:

V and W are two vectors, where V i j k = + 2 + and W i j k = 3 + 6 + 3 . Calculate V W × .

  • A 3 , 6 , 9
  • B 3 , 1 2 , 3
  • C 1 2 , 0 , 1 2
  • D 0 , 0 , 0
  • E 0 , 6 , 1 2

Q6:

V and 𝑊 are two vectors, where V = 7 , 2 , 1 0 and W = 2 , 6 , 4 . Calculate V × 𝑊 .

  • A 2 8 , 4 , 4 0
  • B 1 4 , 1 2 , 4 0
  • C 3 4 , 5 4 , 6 4
  • D 6 8 , 4 8 , 3 8
  • E 5 2 , 8 , 3 8

Q7:

If , , and , find .

  • A
  • B
  • C
  • D

Q8:

Find the unit vectors that are perpendicular to both and .

  • A or
  • B or
  • C or
  • D or

Q9:

V and W are two vectors, where V = 5 , 1 , 2 and W = 4 , 4 , 3 . Calculate V W × .

  • A 3 5 , 1 , 1 6
  • B 2 0 , 4 , 6
  • C 2 3 , 2 6 , 4
  • D 5 , 2 3 , 2 4
  • E 1 1 , 2 3 , 1 6

Q10:

Given that , and , determine the unit vector perpendicular to the plane of the two vectors and .

  • A
  • B
  • C
  • D

Q11:

If and , determine .

  • A
  • B
  • C
  • D

Q12:

If and , determine .

  • A
  • B
  • C
  • D

Q13:

Given that and , determine .

  • A
  • B
  • C
  • D

Q14:

Let V = 1 , 3 , 2 and W = 7 , 2 , 1 0 . Calculate V W × .

  • A 1 2 , 3 6 , 1 0
  • B 7 , 6 , 2 0
  • C 3 2 , 2 7 , 1 7
  • D 3 4 , 2 4 , 1 9
  • E 2 6 , 4 , 1 9

Q15:

Given that , , , and , find .