Relative to a fixed origin, the points A, B and C have the following position vectors 2 1 0-0) 3 and 4 a) Calculate the vectors u=AB-30C and v=AC +20B, where O is the point of origin. -1 respectively.

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Chapter1: Functions And Models
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Relative to a fixed origin, the points A, B and C have the following position vectors 2
(-)
1
3
4
1
Land (4)
respectively.
a) Calculate the vectors u = AB-30C and v=AC+2OB, where O is the point of
origin.
b) Find the angle between the two vectors u and v giving your answer in degrees to 1
decimal place.
c) Vector w is such that u w=0. State the angle between vectors u and w.
Transcribed Image Text:Relative to a fixed origin, the points A, B and C have the following position vectors 2 (-) 1 3 4 1 Land (4) respectively. a) Calculate the vectors u = AB-30C and v=AC+2OB, where O is the point of origin. b) Find the angle between the two vectors u and v giving your answer in degrees to 1 decimal place. c) Vector w is such that u w=0. State the angle between vectors u and w.
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