Vectors - Dot and Cross Products

Front

What type of quantity is produced by the dot product of two vectors?

Back

Scalar

Front

Find the dot product of the vectors <1, -2> and <3, 2>.

Back

-1

Front

What is the magnitude of the vector <2, -3>?

Back

√13

Front

What is the magnitude of the vector 4i + 3j?

Back

5

Front

Find the dot product of the vectors <4, 5> and <2, 3>.

Back

26

Front

What is the formula for the dot product of two vectors A and B?

Back

A • B = |A| |B| cos(θ) where θ is the angle between A and B.

Front

What type of quantity is produced by the cross product of two vectors?

Back

Vector

Front

What is the formula for the magnitude of the cross product of two vectors A and B?

Back

|A × B| = |A| |B| sin(θ) where θ is the angle between A and B.

Front

Find the cross product of the vectors <1, 0, 0> and <0, 1, 0>.

Back

<0, 0, 1>

Front

What is the result of the cross product of two parallel vectors?

Back

The result is the zero vector.