3.4 Dot Product and Orthogonality

Front

What does it mean if the dot product of two vectors is zero?

Back

The two vectors are orthogonal.

Front

Are the vectors a = 2i - 9j and b = 8i + j orthogonal? (True/False)

Back

False

Front

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

Back

-1

Front

What is the angle between the vectors u and v if the answer is 101.070°?

Back

101.070°

Front

Find the angle between the vectors <1,3> and <2,-5>.

Back

139.76°

Front

Define the dot product of two vectors.

Back

The dot product is a scalar value obtained by multiplying corresponding components of two vectors and summing the results.

Front

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

Back

A · B = a1*b1 + a2*b2.

Front

If two vectors are orthogonal, what is the value of their dot product?

Back

The dot product is zero.

Front

What is the geometric interpretation of the dot product?

Back

It represents the product of the magnitudes of the two vectors and the cosine of the angle between them.

Front

How do you determine if two vectors are orthogonal using their dot product?

Back

If the dot product equals zero, the vectors are orthogonal.