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A zero vector is the result of multiplying a vector by zero.
True
False
If vector A is multiplied by a scalar k, what will be the direction of the result if k > 0?
It will be the same as A
It will be opposite to A
It will be perpendicular to A
It will be at a 45-degree angle to A
Which property states that the product of a scalar and the sum of two vectors is equal to the sum of the products of the scalar and each vector?
Associative property
Commutative property
Distributive property
Identity property
Fill in the blank:
Scalar multiplication affects the ________ of a vector.
magnitude
direction
both magnitude and direction
none of the above
Which property states that the product of a scalar and a vector is commutative?
Is this statement true or false?
If a vector is multiplied by -1, it becomes parallel to its direction.
Inverse property is not applicable to vector scalar multiplication.
Scalar multiplication does not affect the ________ of a vector.
What is the result of multiplying a vector by a negative scalar?
A zero vector
A unit vector in the opposite direction
The vector itself
A unit vector in the same direction
Scalar multiplication of a vector is distributive over:
Vector addition
Scalar addition
Vector subtraction
Both vector addition and subtraction
It is done.