Free Addition of Vectors MCQs with Answers

• A. Zero magnitude
• B. No specified direction
• C. Both A and B are correct
• D. Both A and B are not correct

Explanation: A null vector has magnitude 0, so it has no unique or specified direction because there is no resultant direction to indicate.

• A. 30°
• B. 60°
• C. 90°
• D. 120°

Explanation: For two forces of equal magnitude F, the resultant obeys R² = F² + F² + 2F²cosθ.

• A. 1
• B. 2
• C. 3
• D. Infinite

Explanation: A vector can be resolved into components in any number of chosen directions, provided the components combine vectorially to reproduce the…

• A. X-axis
• B. Normal on a surface
• C. Y-axis
• D. Z-axis

Explanation: The symbol n^ usually represents a unit normal vector, so it points perpendicular to a surface.

• A. Dimensionless
• B. Dimensional scalar
• C. Negative
• D. All A, B and C are correct

Explanation: A vector may be multiplied by a scalar that is dimensionless, dimensional, or negative.

• A. Same as
• B. Perpendicular to
• C. Opposite to
• D. Inclined to

Explanation: The negative of a vector has a direction that is opposite to that of the original vector.

• A. Have their direction opposite
• B. May have their resultant zero
• C. Cannot have their resultant zero
• D. None of the above

Explanation: The correct answer is (c) Cannot have their resultant zero. When two vectors have different magnitudes, their resultant will not be zero…

• A. Power, speed
• B. Work, potential energy
• C. Displacement, acceleration
• D. Force, kinetic energy

Explanation: Force is vector quantity and kinetic energy is scalar quantity.

• A. Has direction
• B. Has magnitude
• C. Follow rules of vector addition
• D. All of the above

Explanation: A vector is defined as a quantity that has both magnitude and direction.

• A. Product vector
• B. Sum vector
• C. Resultant vector
• D. Final vector

Explanation: When you add two or more vectors together, you're combining their effects to find a single vector that represents the overall effect or…

• A. 90°
• B. 60°
• C. 30°
• D. 120°

Explanation: If the resultant of two vectors, each of magnitude F, is also of magnitude F, it means that the vectors are acting in the same direction.

• A. 6N and 10N
• B. 8N and 8N
• C. 4N and 12N
• D. None of them

Explanation: Correct option is A)A+B=16...(1)Tanα = Bsinθ/A+Bcosθ = tan90Thus, A+Bcosθ = 0 ⇒cosθ = − A/B ...(2)We also have: 8= √A^2 +B^2 +2ABcosθ…

• A. 1.5 N
• B. 2.5 N
• C. 4.5 N
• D. 6.5 N

Explanation: 1.5 N cannot be the resultant of their possible sum because neither the subtraction, nor the addition of both values gives 1.5.

• A. 30˚
• B. 45˚
• C. 55˚
• D. 65˚
• E. 120˚

Explanation: When two forces of equal magnitude act at an angle, the magnitude of their resultant can be found using the parallelogram law of vector…

• A. 70N
• B. 10N
• C. 50N
• D. 40N

Explanation: Of course, with a triangle with a 90° angle, a right triangle, you can simply use.Pythagoras theorem (a2+b2=c2) then SOH-CAH-TOA to solve…

• A. 0
• B. 2F
• C. 2/F
• D. F√2

Explanation: This option D suggests that the magnitude of the resultant vector is F√2.

• A. 90°
• B. 45°
• C. 180°
• D. 270°

Explanation: The problem involves finding the angle between two vectors with magnitudes 3 and 4, resulting in a magnitude of 5 for their resultant…

• A. Commutative law
• B. Associativo law
• C. Distributive law
• D. All of these

Explanation: The addition of vectors satisfies two important properties along with distributive law. Hence, all of the above options are true.

• A. 30°
• B. 0°
• C. 60°
• D. 45°

Explanation: For two vectors of the same magnitude to have a resultant that is twice the magnitude of either vector, they must be in the same…

• A. 0 degree
• B. 30 degree
• C. 90 degree
• D. 180 degree

Explanation: To solve this problem, use the properties of vector addition and subtraction.