Warm-Up_Vectors, Trig Equations, and Polar Coordinates #2

Find the component form of a vector whose initial point is (5, 7) and terminal point is (1, 10)

• <-4, 3>

• <4, -3>

• 5

• <6, 17>

Find the component form of a vector whose magnitude is 10 and direction is 150°.

• <10, 150>

• <-8.66, 5>

• <6.99 , -7.14>

• 10i + 150j

Given u = <3, 7> and v =<-5, 4>, find 2u - 3v

• <21, 2>

• <-11, 26>

• <8, 3>

• 23

Tags

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

Given u = <3, 7> and v =<-5, 4>, find 2v - 3u

• <21, 2>

• <-19, -13>

• <-15, 3>

• 23

Tags

CCSS.HSN.VM.B.4

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

Two forces with magnitudes of 250 pounds, and 200 pounds act on an object at angles of 50° and -40° respectively. Find the component form of the resultant Force.

• <313.91, 62.95>

• 320.16 pounds

• 450 pounds

• 11.34°

Two forces with magnitudes of 250 pounds, and 200 pounds act on an object at angles of 50° and -40° respectively. Find the magnitude of the resultant Force.

• <313.91, 62.95>

• 320.16 pounds

• 450 pounds

• 11.34°

Two forces with magnitudes of 250 pounds, and 200 pounds act on an object at angles of 50° and -40° respectively. Find the direction angle of the resultant Force.

• 10°

• 90°

• 16.85°

• 11.34°

• A

• B

• C

• D

• 5π∕6 + 2πn, 7π/6 + 2πn

• π/3 + 2πn, 2π/3 + 2πn

• 5π/12 +πn, 7π/12 +πn

• 2π/3 +πn, 4π/3 +πn

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.7

CCSS.HSF.TF.C.8

• No solution

• π/3 +2πn, 5π/3 +2πn

• π/6 +2πn, 11π/6 +2πn

• 2π/3 +2πn, 4π/3 +2πn

Tags

CCSS.HSF.TF.B.7