Any vector has a zero component in the direction that is perpendicular to the direction of that vector. Thus, it is possible for one component of a vector to be zero, while the vector itself is not zero.

Can a vector have a nonzero magnitude if a component is zero?

a) Yes. It can have a Y-component of zero and a non-zero x-component, which will equal to a nonzero magnitude. Therefore, a vector can have zero component, but still have a nonzero magnitude.

Can a vector be zero when one of the component is not zero while all the components are zero explain?

No, a vector can be zero if all components are zero.

Can the magnitude of a vector be equal to one of its components?

The magnitude of the component may be equal to the magnitude of the vector if and only of the projection is taken along itself, otherwise it will always be less. For instance, consider a vector 4i where i is a unit vector along he x axis.

Can a component of a vector be negative?

Vectors are only negative with respect to another vector. The magnitude, or length, of a vector, cannot be negative; it can be either be zero or positive. The negative sign is used here to indicate that the vector has the opposite direction of the reference vector.

Is displacement a scalar or vector?

Distance is a scalar quantity that refers to “how much ground an object has covered” during its motion. Displacement is a vector quantity that refers to “how far out of place an object is”; it is the object’s overall change in position.

Which of the following is NOT unit vector?

Now as we know a unit vector is a vector whose magnitude is unity (equal to 1) so we will check whose magnitude is unity and give the final answer. ⇒ It is Not a unit vector. It is a unit vector. Now, since Option 3 is NOT a unit vector we get OPTION C as the final answer.

What do you mean by null vector?

A null vector is a vector that has magnitude equal to zero and is directionless. It is the resultant of two or more equal vectors that are acting opposite to each other.

Can you multiply a vector by a scalar?

A scalar, however, cannot be multiplied by a vector. To multiply a vector by a scalar, simply multiply the similar components, that is, the vector’s magnitude by the scalar’s magnitude. This will result in a new vector with the same direction but the product of the two magnitudes.