Figure 1 Coordinate system



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2-Vector

a) 7 m and 2 m b) 6 m and 11m
с) 2 m and 6 m d) 1 m and 4 m

        1. In xy - plane the x-component of a given vector is equal to that vector’s magnitude multiplied by which trigonometric function, with respect to the angle between vector and x-axis?

a) sine b) cotangent c) tangent d) cosine

        1. Given vector A makes an angle with respect to the x-axis. x-component of the vector A is known and the angle between vector and x-axis is known. Which operation is used to calculate the magnitude of vector A?

a) dividing by cosine
b) multiplying by sine
c) dividing by tangent
d) multiplying by tangent

        1. The x- component of vector A is 50 m and the y- component is 120 m. What is the magnitude of A? What is the angle between the direction of A and the positive direction of x?

a) 100 m 56.20 b)120 m 49.70 c) 130 m 67.40 d) 140 m 60.10

        1. Two force vectors act on an object as follows: 50.0 N at 45.0° north of east and 25.0 N at 30.0° south of east. Find the resultant force and angle.

a) 75.0 N 7.50° north of east
b) 61.3 N 21.9° north of east
c) 23.4 N 18.3° north of east
d) 12.8 N 37.5° north of east

        1. Given two vectors A and B. The vector A is 40 m due east and the vector B is 80 m at 30° north of west. Find the resultant vector and direction.

a) 56.7 m 44.5° north of west
b) 38.1 m 35° north of west
c) 62.3 m 41.5° north of west
d) 49.3 m 54.2° north of west

        1. An object moved 400 m eastward, then 200 m northward, and finally 100 m westward. What is the magnitude of net displacement and direction of displacement with respect to its original position?

a) 360.5 m 33.70 north of east
b) 450.2 m 42.30 north of east
c) 520.3 m 51.40 north of east
d) 400.6 m 55.60 north of east

        1. Vector
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