Scalar And Vector Quantities - SS1 Physics Past Questions and Answers - page 3
Two vectors with magnitudes of 8 units and 6 units are subtracted. The minimum magnitude of their resultant vector can be:
2 units
3 units
5 units
8 units
When two vectors are added, the resultant vector is equal to the:
Sum of their magnitudes.
Difference of their magnitudes.
Product of their magnitudes.
Division of their magnitudes.
The addition or subtraction of vectors involves considering both:
Magnitude and direction.
Magnitude only.
Direction only.
Neither magnitude nor direction.
The resultant of two perpendicular vectors with equal magnitudes is:
Zero.
The sum of their magnitudes.
The difference of their magnitudes.
Their product.
Given two vectors A = 3i + 2j and B = -2i + 4j, calculate the vector C = A + B.
To add the two vectors, we simply add their corresponding components.
C = (3i + 2j) + (-2i + 4j)
C = (3 - 2)i + (2 + 4)j
C = i + 6j
C = i + 6j
Given two vectors P = 5i - 3j and Q = 2i + 7j, calculate the vector R = P - Q.
To subtract the two vectors, we subtract their corresponding components.
R = (5i - 3j) - (2i + 7j)
R = (5 - 2)i + (-3 - 7)j
R = 3i - 10j
R = 3i - 10j
Given vector A = 4i - 6j and vector B = -2i + 8j, calculate the vector C = 2A - B.
To calculate the vector C, we first multiply vector A by 2 and then subtract vector B.
C = 2(4i - 6j) - (-2i + 8j)
C = 8i - 12j + 2i - 8j
C = 10i - 20j
C = 10i - 20j
Given vector P = 3i - 4j and vector Q = -2i + 6j, calculate the vector R = P + Q - P.
To calculate the vector R, we add vectors P and Q, and then subtract vector P.
R = (3i - 4j) + (-2i + 6j) - (3i - 4j)
R = 3i - 4j - 2i + 6j - 3i + 4j
R = -2i + 6j
R = -2i + 6j
Resolution of a vector into its components involves:
Adding the magnitudes of the vector's components.
Subtracting the magnitudes of the vector's components.
Finding the product of the vector's components.
Finding the perpendicular projections of the vector onto coordinate axes.
The resolution of a vector into its components is based on which principle?
Pythagorean theorem.
Law of conservation of energy.
Law of conservation of momentum.
Law of cosines.