vectors in plane

Figure 5.1 : vectors in R2

Question 1

How many coordinates does v have ?

v=(13102134)

Question 2

What are the coordinates of w (see Figure 5.1) ?

Question 3

Let be the points A=(120122) and B=(100105). What are the coordinates of the vector AB ?

Question 4

What is ew equal to (see Figure 5.1) ?

Question 5

How can the norm of a vector be determined ?

Question 6

What is the length of s (see Figure 5.1) ?

Question 7

What is the value of λ such that λwm=(00) (see Figure 5.1) ?

Question 8

Which vector is collinear to u (see Figure 5.1) ?

Question 9

Let g=(57). Which vector is collinear to g ?