GK
PHYSICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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13.9 m, 5.10 m
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14 m, 5 m
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14.1, 5.13 m
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14.2, 5.20 m
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Detailed explanation-1: -Sketch a parallelogram around the vector: beginning at the tail of the vector, sketch vertical and horizontal lines; then sketch horizontal and vertical lines at the head of the vector; the sketched lines will meet to form a rectangle (a special case of a parallelogram). Draw the components of the vector.
Detailed explanation-2: -A displacement vector in the xy plane is 15 m long and directed at angle =30o in fig.
Detailed explanation-3: -To find the angle between two vectors a and b, we can use the dot product formula: a. b = |a| |b| cos . If we solve this for , we get = cos-1 [ (a. b) / (|a| |b|) ].
Detailed explanation-4: -MAGNITUDE AND DIRECTION OF A VECTOR Given a position vector →v=⟨a, b⟩, the magnitude is found by |v|=√a2+b2. The direction is equal to the angle formed with the x-axis, or with the y-axis, depending on the application. For a position vector, the direction is found by tan=(ba)⇒=tan−1(ba), as illustrated in Figure 8.8.