Refer to the figure below.
Define unit vectors as follows:

in the eastern direction

in the northern direction
Given:
Vectors a and b point due west and south respectively. Therefore

Part (a)

The magnitude is
|-69(√[1² + 1²])| = 69√2 = 97.58.
The direction relative to west is
θ = tan⁻¹ (b/a) = tan⁻¹ 1 = 45° south of west
Answer:
The magnitude of (a + b) is 97.58 or 69√2.
The direction is 45° south of west.
Part (b).

The magnitude is
|69(√(1+1)| = 69√2 = 97.58.
The direction relative to west is
tan⁻¹ (b/a) = 45° north of west.
Answer:
The magnitude of (a-b) is 97.58 or 69√2.
The direction is 45° north of west.
Answer: x= 22.5, angle B = 67.5
Step-by-step explanation:
90+3x+x= 180
4x = 90
x=22.5
3(22.5)= 67.5
Evaluate 4 − 0 . 2 5 g + 0 . 5 h 4−0.25g+0.5h4, minus, 0, point, 25, g, plus, 0, point, 5, h when g = 1 0 g=10g, equals, 10 and
abruzzese [7]
Not sure about the weird echo in the question but I think we're being ask to evaluate
4 - 0.25g + 0.5h
when g=10, h=5
That's
4 - 0.25(10) + 0.5(5) = 4 - 2.5 + 2.5 = 4
Answer: 4
Over the x-axis: (x, y) (x, –y)
Over the y-axis: (x, y) (–x, y)
Over the line y = x: (x, y) (y, x)
Through the origin: (x, y) (–x, –y)