Chapter 10. Three-Dimensional Vectors (intro)

Determine the direction of the vector <-1, 3>

• 161 degrees

• -72 degrees

• 288 degrees

• 108 degrees

Tags

CCSS.HSN.VM.A.1

Write in component form.

• <0, 4>

• <8, 2>

• <2, 8>

• <0, 2>

Tags

CCSS.5.G.A.2

Given the magnitude & direction of the resultant, find the horizontal & vertical components. Direction: 287° Magnitude: 422 units

• Horizontal -403.6

  Vertical 123.4

• Horizontal 123.4

  Vertical -403.6

• Horizontal 123.4

  Vertical 403.6

• Horizontal -123.4

  Vertical -403.6

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS.

• 〈14,-13〉
• 〈-14,13〉
• 〈-40,-21〉
• 〈40,-21〉

Tags

CCSS.HSN.VM.A.2

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.

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CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

CCSS.HSN.VM.A.1

A vector is a mathematical structure that has both _______ and _______.

• direction, magnitude
• scope, sequence
• meat, potatoes
• scalar, vector

Tags

CCSS.HSN.VM.A.1

Select all that apply.

• OB + BC = OC

• OA + AC = OC

• CB + B0 = -OC

• OD = 0.5(OA + AC)

Vectors a, b, c are defined as:

a = 2i + 5j; b = i - 3j; c = -3i - j. Select all that apply.

• a + b = 3i + 8j

• a - b = i + 8j

• a + c = -i + 4j

• c - b = -5i + 6j

Vector a = 2i + 3j - 5k. What is the value of 3a?

• 3i + 3j - 3k

• 5i + 6j - 8k

• 6i + 9j -15k

• 6i + 6j - 15k

Given points A(3, 2, -4) and B(2, 1, -1), so the vector AB is

• i + 3j -5k

• -i -3j +3k

• i -j -5k

• -i -j +3k

Tags

CCSS.HSN.VM.A.2