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Savatey [412]
4 years ago
7

Pls help with this pre-calc problem

Mathematics
1 answer:
katovenus [111]4 years ago
4 0

we are given

v_1=(2,-6)

v_2=(-4,7)

(a)

we can find absolute value

|v_1|=\sqrt{(2)^2+(-6)^2}

|v_1|=2\sqrt{10}

|v_2|=\sqrt{(-4)^2+(7)^2}

|v_2|=\sqrt{65}

(b)

we can find unit vectors

v_1'=\frac{v_1}{|v_1|}

now, we can plug values

v_1'=\frac{(2,-6)}{2\sqrt{10}}

v_1'=(\frac{1}{\sqrt{10}}  ,\frac{-3}{\sqrt{10}} )

v_2'=\frac{v_2}{|v_2|}

now, we can plug values

v_2'=\frac{(-4,7)}{\sqrt{65}}

v_2'=(\frac{-4}{\sqrt{65}}  ,\frac{7}{\sqrt{65}} )

(c)

we can draw vectors


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