We have the two vectors A = 4 i - 3 j and B = -3 i +4 j . In answering the follo

Question

We have the two vectors

A = 4i - 3j
and
B = -3i +4j.

In answering the following questions, measure all angles from thex-axis and use 1 for quadrant I, 2 for quadrant II, 3 for quadrantIII and 4 for quadrant IV. Report all magnitudes and angles tothree significant figures.

a. What is the magnitude and direction of vectorA?
magnitude:
angle:
quadrant:

b. What is the magnitude and direction of vectorB?
magnitude:
angle:
quadrant:

c. What is the magnitude and direction of vector A +B?
magnitude:
angle:
quadrant:

d. What is the magnitude and direction of vectorA-B?
magnitude:
angle:
quadrant:

Explanation / Answer

a. What is the magnitude and direction ofvector A? magnitude: 5m angle: -37 or  323 quadrant:  IV b. What is the magnitude and direction ofvector B? magnitude: 5m angle: -53 or  143 quadrant:  II c. What is the magnitude and direction ofvector A+ B? magnitude: 1.414 angle: 45 quadrant:  I d. What is the magnitude and direction ofvector A-B? magnitude: 9.89 angle: -45 or 315 quadrant:  IV

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