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savvaggeb
22.09.2019 •
Mathematics
Determine the angles made by the vector v = (67)i + (-15)j with the positive x- and y-axes. write the unit vector n in the direction of v
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Ответ:
From right triangle trigonometry:
tan(α)=(opposite side)/(adjacent side)=15/67=0.2239
using a scientific calculator we find that arctan(0.2239)=12.62°
thus α=12.62°, is the angle that the vector makes with the positive x-axis.
The angle made with the + y-axis is 12.62°+90°=102.62°.
The length of the vector v can be determined using the Pythagorean theorem:
Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8.
This means that the x and y components will also be divided by 68.8, by proportionality.
So, the unit vector in the direction of v is:
(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
12.62°; 102.62°; 0.97 i + (- 0.22)j
Ответ:
its c
Step-by-step explanation:
if u add 69 plus ur mom u get it