Vectors

Write in component form.

• <0, 4>

• <8, 2>

• <2, 8>

• <0, 2>

Tags

CCSS.5.G.A.2

Determine the components of the vector: magnitude= 12 and direction= 125 degrees

• < -9.9, 6.9 >

• < 9.9, -6.9 >

• < -6.9, 9.8 >

• < 6.9, -9.8 >

Tags

CCSS.HSN.VM.A.2

Which statement describes a vector?

• It has magnitude but no direction
• It has direction but no magnitude
• It has both direction and magnitude
• It has constant magnitude but no
   direction

Tags

CCSS.HSN.VM.A.1

How do you know if two vectors are orthogonal?

• Their sum is 0.
• The dot product is 1.
• The angle between them is 0°.
• The dot product is 0.

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

CCSS.HSN.VM.A.1

Find the dot product of <1, -2> and <3, 2>.

• 1
• <3, -4>
• <4, 0>
• -1

Tags

CCSS.HSN.VM.A.1

Find the unit vector in the same direction as v.

• <0.385, 0.923>
• <-0.832, 0.555>
• <5/13, 12/13>
• <-5/13, -12/13>

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.C.11

Find the angle between vectors <1,3> and <2,-5>.

• 40.24°
• 49.76°
• 139.76°
• 92.57°

Tags

CCSS.HSF.TF.B.7

CCSS.HSN.VM.A.1

Which of the following is a vector of magnitude 5 that is in the same direction as v = 6i + 8j

• 2i + 3j

• 0 + 5j

• 3i + 4j

• -6i - 8j

An airplane flying due south (270°)  485 mph against a 25 mph wind blowing due west(180°). Determine the new speed and direction of the plane.

• Direction 267.0°
  Magnitude 485.6mph
• Direction 93.0°
  Magnitude 485.6mph
• Direction 237.0°
  Magnitude 485.6mph
• Direction 87.0°
  Magnitude 510.0mph

2 forces: 32N and 45 N with angle between of 35 deg. Determine the magnitude of the resultant. hint: Draw one of the force vectors along the positive x axis.

• 77 N

• 26.3 N

• 61 N

• 73.5 N