Motion in a Pla...

Which of the following quantities is dependent of the choice of orientation of the coordinate axes?

Two vectors inclined at an angle θ have a resultantwhich makes an angle α  withand angle β  withLet the magnitudes of the vectors be represented by A, B and R respectively. Which of the following relations is not correct?

Vectorsinclude an angle θ between them. Ifrespectively subtend angles α and β with then (tanα + tanβ) is :

A unit vector in the direction of resultant vector of 

In the question number 20, a unit vector perpendicular to the direction ofis

Resultant of two vectorsis of magnitude P. Ifis reversed, then resultant is of magnitude Q. What is the value of P² + Q²?

If then the angel betweenwill be

A motorboat is racing towards the north at 25 kmh⁻¹ and the water current in that region is 10 kmh⁻¹ in the direction of 60^∘ east of south. The resultant velocity of the boat is:

Ifis a vector of magnitude 5 units due east. What is the magnitude and direction of a vector -5?

The driver of a car moving towards a rocket launching pad with a speed of 6 ms⁻¹ observed that the rocket is moving with a speed of 10 ms⁻¹ the upward speed of the rocket as seen by the stationary observer is