What two properties does a vector have?
AnswerMagnitude and direction
A vector has both a size, called magnitude, and a direction.
Science · Facts & stats
Vector facts & stats
7 fact-checked facts about vectors, each with the reason behind it. 5 more are in today's round and join this page after it closes.
The basics
Which of these is a vector quantity?
AnswerVelocity
Velocity includes direction; temperature, mass and time are scalars with size only.
Going deeper
What is the magnitude of the vector (3, 4)?
Answer5
By Pythagoras, the length is the square root of 3² + 4², which is 5.
What is a unit vector?
AnswerA vector with a length of 1
A unit vector has magnitude 1 and is used to show direction alone.
What is the dot product of two perpendicular vectors?
Answer0
The dot product includes the cosine of the angle between vectors, and cos 90° is 0.
Expert level
The cross product of two 3D vectors produces what?
AnswerA vector perpendicular to both
The cross product gives a vector at right angles to both input vectors.
The word 'vector' comes from Latin meaning what?
AnswerCarrier
Vector means 'carrier' in Latin, from vehere, 'to carry'.
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