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Is this statement true or false?
Scalar multiplication is a linear operation, which means it preserves vector addition and scalar multiplication properties.
True
False
When a vector is multiplied by a scalar, the result is a vector with different magnitude but the same direction.
What happens when you multiply a vector by a scalar greater than 1?
The vector shrinks
The vector rotates
The vector grows in length
The vector changes direction
Fill in the blank:
If a vector is multiplied by a positive scalar, the direction is ________.
Remains the same
Becomes perpendicular to the original direction
Reverses
Becomes random
If vector A has components (3, -2), what is the result of scalar multiplication by 5?
(15, -10)
(8, -7)
(3, -2)
(-15, 10)
Scalar multiplication affects the magnitude of a vector but not its __________.
Direction
Origin
Length
Sum
If vector B is the result of multiplying vector A by scalar k, which of the following equations is ?
B = A / k
B = A - k
B = k * A
B = A + k
If a vector is multiplied by a negative scalar, the direction is ________.
If a vector is multiplied by zero, the result is ________.
The zero vector
A unit vector
The same vector
A scalar
Which of the following is a scalar quantity?
Velocity
Force
Acceleration
Mass
It is done.