Answer: the value of | 2x + y | = 1.39
the direction of 2x + y = 21°
Step-by-step explanation:
Given that the vectors x and y are unit vectors that make and angle of 30 degrees with each other.
Let assume that unit vector x is along the positive x-axis, and unit vector y is at +30°.
Therefore
2x-y=
2< 1,0 > - < cos(30),sin(30) >
=<2-(√2)/2, 0-1/2>
and
|2x-y|=√((2-(√2)/2)² + (-1/2)^2)
=1.3862
Therefore the value of | 2x + y | = 1.39
=atan((-1/2)÷(2-(√2)/2))
=atan(1.29289/-0.5)
=-0.369 radians
= -21.143°
Therefore the direction of 2x + y is
21°
Answer:
when in doubt choose c
Step-by-step explanation:
Given two coordinates point 1 as (-23,-14) and point 2 as(-18,2).
To find the midpoint we would use the formula below;
Where x1=-23, x2=-18, y1=-14, y2=2
We would substitute the values into the midpoint formula.
Therefore, the answer is
Answer:
Step-by-step explanation:
If you draw a line from the origin (0,0) to L ( the original point ) and a different line from the origin to the image L' you can see the angle of rotation as being
90 degrees and that the rotation is clockwise.
the rule is (x, y) become ( y, -x)
