1. The polar coordinates of a point are r = 5.50 m and 0= 240°. What are the cartesian coordinates of this point?

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1. The polar coordinates of a point are r = 5.50 m and 0 = 240°. What are the
cartesian coordinates of this point?
2. The driver of a car drives 3.00 km north, 2.00 km northeast (45.0° east of
north), 4.00 km west, and then3.00 km southeast (45.0° east of south).
Where does he end up relative to his starting point? Work out your answer
graphically. Check by using components.
3. Vector A has x and y components of -8.70 cm and 15.0 cm, respectively;
vector B has x and y components of 13.2 cm and -6.60 cm, respectively.
If A - B + 3C= 0, what are the components of C?
4. The vectors A and B are given by A 2i +3j and B = -i +2j.
(a) Determine the scalar product A.B. (b) Find the angle 0 between A and B.
(c) Determine the vector product AXB.
Transcribed Image Text:1. The polar coordinates of a point are r = 5.50 m and 0 = 240°. What are the cartesian coordinates of this point? 2. The driver of a car drives 3.00 km north, 2.00 km northeast (45.0° east of north), 4.00 km west, and then3.00 km southeast (45.0° east of south). Where does he end up relative to his starting point? Work out your answer graphically. Check by using components. 3. Vector A has x and y components of -8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and -6.60 cm, respectively. If A - B + 3C= 0, what are the components of C? 4. The vectors A and B are given by A 2i +3j and B = -i +2j. (a) Determine the scalar product A.B. (b) Find the angle 0 between A and B. (c) Determine the vector product AXB.
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