7.3 the dot product of two geometric vectors

Question 1

If an angle is between zero and 90, what is the sign of product of vectors a and b

Answer 1

Greater than zero (positive)

Question 2

If the angle is equal to 90, what is the product of a and b

Answer 2

Zero

Question 3

If the angle is between 90 and 180, what is the product of a and b?

Answer 3

Less than zero (negative)

Question 4

What is the commutative rule in terms of vectors a and b?

Answer 4

Vector a times b equals b times a

Question 5

What is the distributive property in terms of vectors a, b and c?

Answer 5

Vector a(b plus c) equals a times b plus a times
c

Question 6

What is the magnitude property in terms of vector a?

Answer 6

a times a equals the magnitude of a squared

Question 7

What is the associative property with a scalar k?

Answer 7

Vectors (Ka) times b equals a times (k times b) equals k (a times b)

Question 8

When can the dot product be used?

Answer 8

When finding and angle between two vectors

Find a vector perpendicular to another vector

Finding the area of a parallelogram