Vector Addition - Component Form

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.

Tags

CCSS.HSN.VM.B.4

CCSS.HSN.VM.C.10

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

• just add them together.

• use the Pythagorean theorem.

• use the Law of Cosines.

• subtract the smaller for the larger.

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.C.10

Find the magnitude of

• 4

• 5

• 3

• square root of 5.

Tags

CCSS.HSN.VM.A.1

Write in component form

• <0, 4>

• <8, 2>

• <2, 8>

• <0, 2>

Tags

CCSS.HSA.CED.A.2

What is the horizontal component of a vector w = <-18, 5>

• -18

• 5

• 18

• -5

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

Given u = <3, 5> and v = <-2, 2)>

Find u + v

• <5, 3>

• <1, 7>

• <7, 1>

• <3, 5>

Tags

CCSS.HSN.VM.B.4

CCSS.HSN.VM.C.10

Given u = <3, 5> and v = <-2, 2>

Find 3u - v

• <9,15>

• <7, 17>

• <15, 9>

• <11, 13>

Tags

CCSS.HSN.VM.B.4

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

Given u = <3, 5> and v = <-2, 2>

Find -u + 2v

• <-7, -1>

• <5, 3>

• <1, -9>

• <8, 11>

Tags

CCSS.HSN.VM.B.4

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

Determine the direction of <8, -2>

• 346 degrees

• 14 degrees

• 166 degrees

• 194 degrees

Tags

CCSS.HSN.VM.A.1

Two forces: 32N and 45 N with angle between of 35 deg. Determine the magnitude of the resultant.

• 5408.2

• 26.3

• 689.8

• 73.5

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

CCSS.HSN.VM.A.1

CCSS.HSN.VM.C.10