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Linear algebra

Course: Linear algebra > Unit 1

Lesson 1: Vectors
Math
Linear algebra
Vectors and spaces
Vectors
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Add vectors: magnitude & direction to component

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Problem

The magnitude of v, with, vector, on top is 7, and its direction angle is 30, degrees.
The magnitude of w, with, vector, on top is 4, and its direction angle is 140, degrees.
Find the component form of v, with, vector, on top, plus, w, with, vector, on top.
It's okay to round your intermediate calculations and final answer to the nearest hundredth.
v, with, vector, on top, plus, w, with, vector, on top, approximately equals, left parenthesis, space
  • 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
space, comma
  • 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
right parenthesis, space
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