Vector and Scalar/Vector Addition through Graphical Method

What is an arrow line whose length represents the magnitude, while the arrowhead indicates its direction?

• Vector Diagram

• Vector

• Component

• Resultant

What refers to the physical quantities that are completely specified by just a number and a unit or physical quantities that have magnitudes only?

• Scalar Quantities

• Vector Quantities

• Scalar Product

• Vector Product

Which is NOT a vector quantity?

• Displacement

• Velocity

• Acceleration

• Time

What refers to physical quantities that have magnitude and a direction?

• Scalar Quantities

• Vector Quantities

• Scalar Product

• Vector Product

What is a scaled drawing of the various forces, velocities or other vector quantities involved in the motion of a body.

• Vector Diagram

• Vector

• Component

• Resultant

In the __________ law of addition, the sum would still be the same even if you reverse the arrangement of vectors when adding.

• Associative

• Commutative

• Distributive

• Imperative

Answer explanation

Commutative law of addition means that the sum would still

be the same, even if you reverse the arrangement of the vectors.

Choose the answer that best corresponds to the relationship between the terms in each pair.

Distance:Displacement :: Speed:Velocity :: Mass:_________

• Density

• Force

• Volume

• Weight

Answer explanation

In this analogy:

• Distance is a scalar quantity that represents the length of the path traveled.

• Displacement is a vector quantity that represents both the length and direction of the change in position.

Similarly:

• Speed is a scalar quantity that represents the rate of motion.

• Velocity is a vector quantity that represents the rate of motion along with its direction.

Therefore, the missing analogy component is "mass," which is a scalar quantity, and its corresponding vector quantity is "weight," which includes both the magnitude (mass) and the direction (usually downward due to gravity). So, the correct answer is D. Weight.

In the __________ law of addition, the sum or resultant would still be the same regardless of how the individual vectors are grouped.

• Associative

• Commutative

• Distributive

• Imperative

Answer explanation

Associative law of addition means that the sum or resultant would still be the same regardless of how the individual vectors are grouped.

What refers to the sum of two or more vectors?

• Discriminant

• Dominant

• Equilibriant

• Resultant

Answer explanation

The sum of two or more vectors is called the resultant

When using the head-to-tail method to draw a vector addition diagram, the resultant is drawn from the ________ .

• head of the first vector to the tail of the last vector

• tail of the first vector to the head of the last vector

• head of the last vector to the tail of the first vector

• tail of the last vector to the head of the last vector

Answer explanation

The correct answer is B, "tail of the first vector to the head of the last vector."

When employing the head-to-tail method for vector addition, you begin by drawing the first vector with its tail situated at the origin. Subsequent vectors are drawn with their tails at the heads of the preceding vectors.

This sequential alignment allows for the summation of vectors in a step-by-step manner. To determine the resultant vector, you draw a line from the tail of the first vector to the head of the last vector.

This resultant vector represents the combined effect of all the vectors being added together. Hence, option B accurately describes the process of drawing the resultant vector using the head-to-tail method in vector addition.