5 true or false items of vectors

Mathematics

ScanSolve AI Answer

Question 1: True or False: A vector is a quantity that has both magnitude and direction.

True.


Question 2: True or False: The dot product of two non-zero vectors always results in a vector.

False. The dot product of two vectors results in a scalar quantity.


Question 3: True or False: If two non-zero vectors are parallel, their cross product is the zero vector.

True.


Question 4: True or False: Vector addition is not commutative.

False. Vector addition is commutative, meaning A⃗+B⃗=B⃗+A⃗\vec{A} + \vec{B} = \vec{B} + \vec{A}.


Question 5: True or False: A unit vector has a magnitude of exactly one.

True.

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