Activity on Vector Algebra

The dot product $\left(1,\ -2,\ 2\right)\cdot\left(-1,\ 1,\ 3\right)$ is equal to

• 0

• 3

• 9

• None of the above

A $\cdot$ B = 0 means that

• A and B are colinear

• A and B are parallel

• A and B are perpendicular

• None of the above 

The cross product of two vectors A and B is another vector

• True

• False

Select all that apply for the cross product:

• It is commutative, i.e., 

  A $\times$ B = B $\times$ A

• The distributive law is valid, i.e., 
  A $\times$ (B + C) = A $\times$ B + A $\times$ C

• C = A $\times$ B is perpendicular to both A and B

• It may be multiplied by a scalar $m$ without changing its direction

Which symbol is used to show vector quantities?

• Triangle

• Line

• Arrow

What is magnitude?

• The direction that describes a quantity.
• A numerical value
• A unit of force

Which of the following is an example of scalar magnitude?

• velocity

• mass

• acceleration

• force

The _______ of two or more vectors is the sum of the vectors.

• components
• scalar
• resultant
• magnitude

Tags

NGSS.MS-PS2-2

Vector a = 2i + 3j - 5k. What is the value of 3a?

• 3i + 3j - 3k

• 5i + 6j - 8k

• 6i + 9j -15k

• 6i + 6j - 15k

Given points A(3, 2, -4) and B(2, 1, -1), so the vector AB is

• i + 3j -5k

• -i -3j +3k

• i -j -5k

• -i -j +3k