3.1 - Vector Addition

A vector includes ______ and ________.

• direction, magnitude

• magnitude, units

• direction, units

• scalars, scalars

Tags

NGSS.HS-PS2-4

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.

If two vectors to be added are at right angles, you will need to....

• Multiply

• Divide

• Pythagorean Theorem

• Use trigonometry

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

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

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

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

• tail of the last vector to the tip of the last vector

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

• 4 miles at 45 degrees north of east

• 4 miles at 45 degrees north of west

• 3 miles at 45 degrees north of west

• 3 miles at 45 degrees south of east

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

Which of the following describes the vector above?

• 45 cm

• 45 cm at 30 degrees North of East

• 45 cm at 30 degrees East of North

• 45 cm North East

Describe the direction of the vector above.

• 30 degrees

• 30 degrees North East

• 30 degrees North of East

• 30 degrees East of North

If vector A has an y component of 12 units and a x component of 7 units, which would allow you to solve for the MAGNITUDE of vector A?

What is the resultant for the following example?

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

• 24.6 km at 27 degrees north of east

• 24.6 km at 63 degrees north of east

• 33 km at 27 degrees north of east

• 33 km at 63 degrees north of east