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Question

A watermelon seed has the following coordinates: x=-5.0 m, y=9.0 m and z=0 m. Find its position vector

(a) In unit-vector notation and as
(b) A magnitude and
(c) An angle relative to the positive direction of the x-axis


A

Insufficient data

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B

5^i+9^j, 106, sin1(5106)

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C

5^i+9^k, 106, cos1(5106)

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D

5^i+9^j, 106, cos1(5106)

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Solution

The correct option is D

5^i+9^j, 106, cos1(5106)


(a) It's unit vector notation will be,5^i+9^j+0^k
(b)Magnitude=(5)2+(9)2+02 = 106
(c) Let the angle with the +ve direction of x-axis be α.
x component = |A| cosα
Given x component is -5
5=106 cosα
cos α=5106
α=cos1(5106)


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