Motion in A Plane Test

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Motion in A Plane Test - 1

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Question 1
1 / -0

The basic difference between a scalar and vector is one of

A
origin

B
polar angle

C
direction

D
magnitude

Solution

Explanation:

Scalar quantity gives you an idea about how much of an object there is, but vector quantity gives you an indication of how much of an object there is and that also in which direction. So, the main difference between these two quantities is associated with the direction, i.e. scalars do not have direction but vectors do.
Question 2
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Vectors can be added by

A
translating the two vectors

B
adding the magnitudes of the vectors

C
adding the angles of the vectors

D
triangle law of addition

Solution

Explanation:

The sum of two or more vectors is called the resultant. The resultant of two vectors can be found using either the triangle method or the parallelogram method.
Question 3
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Magnitude of displacement of a particle is

A
is either less or equal to the path length of the particle between two points

B
is equal to the path length of the particle between two points

C
is more than the path length of the particle between two points

D
is less than the path length of the particle between two points

Solution

Explanation:

The maximum possible value for displacement is the distance travelled, so it cannot be of a greater value than distance (path length).

The magnitude of the displacement is always less than or equal to the distance traveled. If two displacements in the same direction are added, then the magnitude of their sum will be equal to the distance traveled.
Question 4
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Two vectors are equal if

A
the two vectors have opposite directions

B
the magnitude and direction are the same for both

C
the magnitude is the same for both

D
the direction is the same for both

Solution

Explanation:

Equal vectors are vectors that have the same magnitude and the same direction. Equal vectors may start at different positions.
Question 5
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Vector addition is

A
asymmetric

B
commutative

C
non-commutative

D
intransitive

Solution

Explanation:

Vector addition is commutative, just like addition of real numbers. If you start from a point say P, you end up at the same spot no matter which displacement (a or b) you take first. The head-to-tail rule yields vector c for both a + b and b + a.