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Scaling Vectors Exercises

Example 1

Perform the following vector operation. 

  • <2, -10> + <4, 6>

Example 2

What is the sum of these two vectors?

  • <3, 7> + <-2, -3>

Example 3

What's the difference between these two vectors?

  • <1, 1> – <-3, -6>

Example 4

Find the sum of the following two vectors.

  • <2, 2> + <1, 5>

Example 5

Perform the vector operation.

  • <11, 0.3> – <1, 0.4>

Example 6

What is the resulting vector?

  • 7<3, 4>

Example 7

What is the resulting vector after performing the multiplication?

  • 2<2, 8>

Example 8

Perform the scalar multiplication seen here.

  • -5<-3, -7>

Example 9

Work out the multiplication problem. 

43<6, -1>

Example 10

What is the resulting vector after performing the scalar multiplication?

  • -3 <6, -1>

Example 11

What vector are we left with after doing the following scalar multiplication?

  • 0<7, 6>

Example 12

  • Find ||3<7, 10>||.

Example 13

  • A vector v has magnitude 10. What is the magnitude of the vector  ?

Example 14

  • If the vector a<5, 12> has magnitude 39, what is a?

Example 15

  • Find the magnitude of the vector (-1)<8, 3>.

Example 16

  • Find the magnitude of the vector -2<3, 2>.
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