Chapter 11 Review

What is the distance between point C and the midpoint of segment AB? Round to the nearest hundredth.

A(3, 2, -5)

B(7, -4, -12)

C(1, 0, -4)

• 7.29

• 6.10

• 18.22

• 8.03

Tags

CCSS.HSG.GPE.B.6

What is the center and radius of the sphere represented by the equation x^2 + y^2 + z^2 - 10x + 6y - 4z + 34 = 0?

• Center: (5, -3, 2), Radius: 2

• Center: (5, -3, 2), Radius: sqrt(34)

• Center: (-5, 3, -2), Radius: 4

• Center: (-5, 3, -2), Radius: 6

Tags

CCSS.HSG.GPE.A.1

What is the intersection of the plane 2x + 7y - z - 8 = 0 and the xy-plane?

• x = 0.5t + 4

  y = (-1/7)t

  z = 0

• x = 2t + 4

  y = (1/7)t

  z = 0

• x = 0

  y = 0

  z = t + 8

• x = 0

  y = 0

  z = -0.5t - 8

Tags

CCSS.7.G.A.3

What is the equation of a plane that is perpendicular to the plane y = 3?

• y = 0

• x + z + y = 3

• z = 3

• <5, 0, 0>

Is the point (-5.5, -8, 14) on the line given by the parametric equations x = 2 - 5t, y = 4 - 8t, z = 11 + 2t?

• Yes

• No

• Cannot be determined from the given information

What is the slope vector for the line that passes through the points (0, 4, -10) and (15, 83, -7)?

• (-15, -79, -3)

• (15, 79, 3)

• (15, 79, 7)

• (15, 79, -7)

What is the equation of the plane that passes through the point (9, 12, -5) and is parallel to the xy-plane?

• x + y + z = 1

• z = -5

• y = 12

• x = 9

What is the equation of the plane that passes through point A(8, 8, 6) and is normal to the vector v = (-1, -1, -7)?

• x + y + 7z = 58

• -x - y - 7z - 58 = 0

• x - y + 7z = 120

• -x - y - 7z = 120

Which of the following vectors is orthogonal to the vectors u = <8, -1, 3> and v = <7, 1, 0.5>?

• <-8, 3, 14>

• <3, -2, 1>

• <-7, 34, 30>

• <2, 1, 4>

What is the magnitude of the vector 6i - 8j + 1.5k? Round to the nearest hundredth.

(a)  

Tags

CCSS.HSN.VM.A.1