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:
Solution given;
Cos (x-
)=
Cos (x-
)=Cos45°
equating corresponding value
(x-
)=45°
x=45°+5/6
x=45.83°
Answer:
5:4 is the simplified ratio while the actual ratio is 30:24
Step-by-step explanation:
Answer:
7.48m (3s.f.)
Step-by-step explanation:
Let the missing side be x m.
Applying Pythagoras' Theorem,
x² +5²= 9²
x² +25= 81
x²= 81 -25 <em>(</em><em>-25</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
x²= 56


x= 7.48 (3 s.f.)
∴ The missing side is 7.48 m (3s.f.)
Answer:
go back to hong kong
imma send you back to hong kong
Step-by-step explanation: