Scalars and vectors Knowledge-Based Practice

Questions

1. 1.

   What is the minimum number of non-coplanar, non-zero vectors required to obtain a resultant of zero?

   • A) 1
   • B) 2
   • C) 3
   • D) 4
2. 2.

   Which of the following statements is always true regarding the magnitude of a physical vector quantity?

   • A) It takes a negative numerical value whenever the vector points along a negative coordinate axis.
   • B) It changes whenever the vector is translated parallel to itself to a new location in space.
   • C) It requires both an absolute numerical value and a spatial direction to be fully specified.
   • D) It is a non-negative scalar that is independent of the choice of coordinate system.
3. 3.

   When a non-zero vector $\vec{A}$ is multiplied by a negative scalar $k$, which of the following statements correctly describes the resulting vector?

   • A) Its magnitude becomes negative, and its direction remains unchanged.
   • B) Its magnitude is multiplied by $|k|$, and its direction is reversed.
   • C) Its magnitude is multiplied by $|k|$, and its direction remains unchanged.
   • D) Its magnitude becomes negative, and its direction is reversed.
4. 4.

   Under which of the following conditions is the magnitude of the resultant of two non-zero vectors equal to the arithmetic sum of their individual magnitudes?

   • A) When the two vectors point in the exact same direction.
   • B) When the two vectors point in exactly opposite directions.
   • C) When the two vectors are perpendicular to each other.
   • D) When the two vectors have equal magnitudes regardless of their relative angle.
5. 5.

   Which of the following groups contains only vector quantities?

   • A) Speed, distance, and mass
   • B) Work, kinetic energy, and power
   • C) Temperature, time, and density
   • D) Velocity, displacement, and force

Answers and step-by-step solutions appear after you finish the test.