Test: Scalars & Vectors (May 16) - JEE MCQ

Impulse (I)

Since force is a vector quantity and impulse is the product of the sudden force applied and the time interval to bring equivalent the system. So Impulse also a vector quantity which have same direction to the force applied.

In Latin, the word vector means carrier.

When a vector is displaced parallel to itself, neither its magnitude nor its direction changes.

The magnitude of a vector is a pure number. Each component of a vector is also a vector. The resultant of two vectors can be zero only if they have the same magnitude and opposite directions.

The position vector of a particle in a rectangular coordinate system is given by the coordinates (x, y, z) as:
Position vector = 
In this case, x = 3, y = 2, and z = 5, so the position vector is:
Position vector = 
So, the correct answer is Option B.

A scalar quantity is a physical quantity that has magnitude but no direction. This means that it is independent of the coordinate system or the orientation of axes used to describe it. Regardless of how you choose to set up your coordinate system or the direction in which you measure the scalar quantity, its value remains the same.

Dot product of two vectors gives a scalar quantity as the output. Cross product gives a vector as the output. It is also known as scalar product.

Vector addition and subtraction give a vector as the output. Cross product also gives a vector as the output. Only Dot product gives a scalar after acting on two vectors.

Only operations valid for vector with scalars are multiplication and division. A vector can be multiplied or divided by a scalar. Other operations like addition and subtraction are not valid for vectors with scalars.