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Position vector of a particle is given by r=acosωti^+asinωtj^. Which of the following is/are true?

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Important Questions on Mathematical Tools in Physics

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The magnitude of scalar product of two vectors is 8 and that of vector product is 83. The angle between them is
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Force acting on a particle is 2i^+3j^ N. Work done by this force is zero, when the particle is moved on the line 3y+Kx=5. Here value of K is (work done W=F·d):
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Equation of line BA is x+y=1. Find a unit vector along the reflected ray AC.

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The vector (a+3b) is perpendicular to (7a-5b) and (a-4b) is perpendicular to (7a-2b). The angle between a and b is :
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Forces proportional to AB, BC and 2CA act along the sides of triangle ABC in order. Their resultant represented in magnitude and direction as
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Which of the following statements are true for a moving body?
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A vector A of length 10 units makes an angle of 60° with a vector B of length 6 units. If the angle which A-B makes with A is tan13ab, then the value of a+b2 is
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3 boys are pulling a heavy trolley by means of 3 ropes. The boy in the middle is exerting a pull of 100 N. The other 2 boys, whose ropes both make an angle of 30° with the centre rope, are pulling with forces of 503 N and 1003 N. Consider all the forces in the same plane. The magnitude of the resultant pull on the trolley is: