Vector Addition Review

Vector Addition Review

By Katie Haigler

Multiple Choice

A vector includes ______ and ________.

• direction, magnitude

• magnitude, units

• direction, units

• scalars, scalars

Multiple Choice

A resultant vector is

• equal to the sum of one vector.

• equal to the sum of two or more vectors.

• equal to the difference of one vector.

Multiple Choice

When using the head-to-tail method to draw a vector addition diagram, the resultant is drawn from the _____ .

• head of the first vector to the tail of the last vector

• tail of the first vector to the head of the last vector

• head of the last vector to the tail of the first vector

• tail of the last vector to the head of the last vector

Adding Vectors in 1-D

​Same Direction - add vectors

​Opposite Directions - subtract vectors

*​

Remember! Displacement is a vector quantity and Distance is a scalar quantity!

Joan walks 13 km [N] and then 5 km [S]. What is her overall displacement?

Joan walks 13 km [N] and then 5 km [S]. What is her overall distance?

Multiple Choice

What is the resultant of these two vectors?

• +17 m

• +3 m

• -17 m

• -3 m

Multiple Choice

What is the resultant vector of the two labeled vectors?

• +2 km

• +14 km

• -2 km

• -14 km

Multiple Choice

What is the resultant of the two vectors shown above?

• +5

• -5

• +15

• -15

Multiple Choice

Bob walks 4 miles west and stops to rest. He then continues to walk another 3 miles west. What is his displacement?

• 7 miles west

• 1 mile west

• 12 miles west

• 7 miles east

Adding 2-D Vectors

​Use Pythagorean Theorem to find magnitude

​

Use Trig Ratios (SOH CAH TOA) to find direction​

Some text here about the topic of discussion

Joan walks 13 km [N] and then 5 km [E]. What is her overall displacement?

Joan walks 13 km [N] and then 5 km [E]. What is her overall direction?

Multiple Choice

If two vectors to be added are at right angles, you will need to use _______ to find magnitude.

• Multiply

• Divide

• Pythagorean Theorem

• Use trigonometry

Multiple Choice

If two vectors to be added are at right angles, you will need to use _______ to find direction.

• Multiply

• Divide

• Pythagorean Theorem

• Use trigonometry

Multiple Choice

Find the measure of the indicated angle (?) round to the nearest tenth.

• 9.4
• 55.2
• 20.15
• 19.4

Multiple Choice

Bob walks 2 miles north and turns west and walks 2 miles. What is Bob's general displacement?

• 4 miles northeast

• 4 miles northeast

• 3 miles northwest

• 3 miles southeast

Multiple Choice

Cameron (Cam for short) Per hikes to a campsite where he will spend the evening. He hikes 6.0 km, north and 3.0 km, west. The magnitude of Cam's displacement is ___km

• 3.0

• 4.5

• 6.7

• 45

Multiple Choice

What is the magnitude of the resultant vector, r?

• 3

• 4

• 5

• 7

Multiple Choice

What is the resultant for the following example?

(Part of the work is done, but not all)

• 24.6 km [E 27 degrees N]

• 24.6 km [E 63 degrees N]

• 33 km [E 27 degrees N]

• 33 km [E 63 degrees N]

Multiple Choice

An airplane flies due north at 150 km/h with respect to the air. There is a wind blowing at 75 km/h due east. What are the plane's speed with respect to the ground?

• 167.7 km/h [E 26.6 degrees N]

• 225 km/h [N 26.6 degrees E]

• 167.7 km/h [E 63.4 degrees N]

• 129.9 km/h [E 63.4 degrees N]

• 129.9 km/h [N 26.6 degrees E]

Poll

How do you feel about adding vectors so far?

• I got it!

• I think I understand but need more practice

• I do not understand this at all and would like to schedule some tutoring

Homework: watch the assigned EdPuzzle to prepare for tomorrow's lesson

Edpuzzle is assigned on Google Classroom