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Problem

Keita left camp three days ago on a journey into the jungle. The three days of his journey can be described by displacement (distance and direction) vectors start color purple, d, start subscript, 1, end subscript, with, vector, on top, end color purple, start color blue, d, start subscript, 2, end subscript, with, vector, on top, end color blue, and start color green, d, start subscript, 3, end subscript, with, vector, on top, end color green.
spacestart color purple, d, start subscript, 1, end subscript, with, vector, on top, end color purple, equals, left parenthesis, 7, comma, 8, right parenthesis
spacestart color blue, d, start subscript, 2, end subscript, with, vector, on top, end color blue, equals, left parenthesis, 6, comma, 2, right parenthesis
spacestart color green, d, start subscript, 3, end subscript, with, vector, on top, end color green, equals, left parenthesis, 2, comma, 9, right parenthesis
space(Distances are given in kilometers, k, m.)
How far is Keita from camp at the end of day three?
  • 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, p, i or 2, slash, 3, space, p, i
space, k, m
(Round your final answer to the nearest tenth.)
What direction is Keita from camp at the end of day three? Assume 0, degree is the rightward direction.
  • 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, p, i or 2, slash, 3, space, p, i
degree
(Round your final answer to the nearest degree. Your answer should be between 0 and 180, degree.)
Do 4 problems