Reveal Math Lesson 5.1

Topic 5 - Vectors

5.1: Vectors in 3D

Open Ended

Do you know what a vector is?

Describe what you think is a vector.

Multiple Choice

Vector is a quantity with:

• magnitude and direction

• magnitude

• direction

• none of the above

Multiple Choice

Given the vector v = 3i -2j +6 k, the magnitude of a is:

• 36

• 49

• 7

• 6

Multiple Choice

Given $$\overrightarrow{OT}=4i+5j-6k$$  and $$\overrightarrow{OM}=-6i+3j+2k$$  , calculate $$\overrightarrow{TM}$$  

• $$-10i-2j+4k$$  

• $$-10i-2j+8k$$  

•   $$-10i-2j-8k$$  

• $$-10i+2j+8k$$  

Multiple Choice

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

Multiple Choice

Which vector equation matches the vector operation shown in the diagram below?

• u - v = w

• u - v = - w

• u + v = w

• v + u = - w

Multiple Choice

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

• 3i + 3j - 3k

• 5i + 6j - 8k

• 6i + 9j -15k

• 6i + 6j - 15k

now, the last part of the lesson

Let's do this!

Multiple Choice

Given $$\overrightarrow{OC}=3i+6j-k$$   , $$\overrightarrow{OD}=2i-6j+2k$$  . Find $$\overrightarrow{CD}+\overrightarrow{AB}$$  if $$\overrightarrow{AB}=6i+5j-2k$$   .

• $$5i+7j+k$$  

• $$5i-7j+k$$  

• $$5i-7j-k$$  

• $$-5i-7j+k$$  

Multiple Choice

Which vector equation matches the vector operation shown in the diagram below?

• u + w = - v

• v + u = w

• w + u = v

• - v + w = 2u

Multiple Choice

If y = 2i and z = -i - 4j, find 3y - 2z.

• 5i - 8j

• 4i + 8j

• 8i + 8j

• -8i - 8j

Poll

By learning using this method, do you think you understand better?

• YES

• NO