Use the equation a = iaiâ
to express each of the following vectors as the product of its magnitude and (unit vector) direction. (your instructors prefer angle bracket notation < > for vectors.)
(a) (2, 1, -3)
(b) 2i - 3j + 4k
(c) the sum of (1, 2, -3) and (2, 4, 1)

a)

b)

c)

Step-by-step explanation:

a) Let a=<2,1,-3>

The magnitude of a is

The unit vector in the direction of a is

Using the relation , we have

b) Let a=2i - 3j + 4k

Using the relation , we have

c) Let us first find the sum of <1, 2, -3> and <2, 4, 1> to get:

<1+2, 2+4, -3+1>=<3, 6, -2>

Let a=<3, 6, -2>

The magnitude is

The unit vector in the direction of a is

Using the relation , we have

side side side

side angle angle

angle side angle

side angle side

step-by-step explanation:

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.