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A vector is not changed if

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Important Questions on Mathematical Tools in Physics

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If the angle between two force increases, the magnitude of their resultant
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When two vectors a and b are added, the magnitude of the resultant vector is always
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If A+B=A=B, then the angle between A and B is
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Vector A is of length 2 cm and is 60° above the x-axis in the first quadrant. Vector B is of length 2 cm and 60° below the x -axis in the fourth quadrant. The sum A+B is a vector of magnitude-
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Which of the following is/are true statements?
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Two vectors having equal magnitude of 5 units, have an angle of 60° between them. Find the magnitude of their resultant vector and its angle from one of the vectors.
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Two forces each numerically equal to 10 dyne are acting as shown in the figure, then find the resultant of these two vectors.

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The magnitude of pairs of displacement vectors is given. Which pairs of displacement vectors cannot be added to give a resultant vector of magnitude 13 cm?