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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
Is this statement true or false?
If a vector is multiplied by -1, it becomes parallel to its direction.
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
Fill in the blank:
Scalar multiplication affects the ________ of a vector.
magnitude
direction
both magnitude and direction
none of the above
Scalar multiplication does not affect the ________ of a vector.
Scalar multiplication of a vector is distributive over:
Vector addition
Scalar addition
Vector subtraction
Both vector addition and subtraction
Inverse property is not applicable to vector scalar multiplication.
Which property states that the product of a scalar and a vector is commutative?
Associative property
Commutative property
Distributive property
Identity property
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?
A zero vector is the result of multiplying a vector by zero.
It is done.