Points, Vectors, and Functions 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.

⁴⁄₃<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>.