7. Topic 7(COLON) Vectors and Coordinate Geometry

Lesson 7.2: The Scalar . Product — Quiz

Test your understanding of lesson 7.2: the scalar . product with 5 practice questions.

Practice Questions

Question 1

What is the definition of the scalar (dot) product of two vectors $\mathbf{a} = (a_1, a_2, a_3)$ and $\mathbf{b} = (b_1, b_2, b_3)$?

Question 2

What is the dot product of the vectors $A = (2, 3, 4)$ and $B = (1, 0, -1)$?

Question 3

If the vectors $A = (3, 4, 0)$ and $B = (0, 0, 5)$ are perpendicular, what is the value of the dot product $A \cdot B$?

Question 4

Determine the angle $\theta$ between the vectors $A = (1, 2)$ and $B = (2, 3)$ using the dot product.

Question 5

What is the projection of vector $A = (4, 3)$ onto vector $B = (1, 1)$?