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Algebra (all content)

Course: Algebra (all content) > Unit 19

Lesson 3: Scalar multiplication
Math
Algebra (all content)
Vectors
Scalar multiplication
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Analyze scalar multiplication

CCSS.Math: HSN.VM.B.5
Google Classroom

Problem

Vector v, with, vector, on top, equals, left parenthesis, x, comma, y, right parenthesis and vertical bar, vertical bar, v, with, vector, on top, vertical bar, vertical bar, equals, 3.
Fill in the blanks to complete the following sentences.
Vector w, with, vector, on top, equals, left parenthesis, 4, x, comma, 4, y, right parenthesis, so vertical bar, vertical bar, w, with, vector, on top, vertical bar, vertical bar, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
.
Vector z, with, vector, on top, equals, left parenthesis, minus, 4, x, comma, minus, 4, y, right parenthesis, so vertical bar, vertical bar, z, with, vector, on top, vertical bar, vertical bar, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
.
Match each vector defined above to a vector that could be its equivalent.
1
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