Two Vectors Three Here are two vectors: a = (5.0 m)i - (4.0 m)j and b = (5.0 m)i

Question

Two Vectors Three Here are two vectors:

a = (5.0 m)i - (4.0 m)j and b = (5.0 m)i + (9.0 m)j.
(a) What is the magnitude of a?
m
(b) What is the angle of a(relative to i)?
°

(c) What is the magnitude of b?
m
(d) What is the angle of b?
°

(e) What is the magnitude of a + b?
m
(f) What is the angle of a + b?
°

(g) What is the magnitude of b - a?
m
(h) What is the angle of b - a?
°

(i) What is the magnitude of a - b?
m
(j) What is the angle of a - b?
°
(k) What is the angle between the directions of b - a and a - b?
The angle between the two vectors is 60°.
The angle between the two vectors is 45°.
The angle between the two vectors is 180°.
The angle between the two vectors is 30°.
The angle between the two vectors is 90°.
The angle between the two vectors is 0°.

Explanation / Answer

(a) What is the magnitude of a=41m

(b) What is the angle of a(relative to i)=cos-1(5/41)

(c) What is the magnitude of b=106m

(e) What is the magnitude of a + b=125m

(g) What is the magnitude of b - a=13m

(i) What is the magnitude of a - b=13m

(k) What is the angle of a - b=0

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