anonymous
  • anonymous
Given triangle ABC with vertices A(4, 1, 7), B(-2, 1, 1) and C(-3, 5, -6), a. Determine the perimeter of ΔABC, correct to one decimal place; b. Is triangle ABC a right triangle? Explain using the vector method.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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amistre64
  • amistre64
i dont spose you know what a dot product of vector is?
anonymous
  • anonymous
to some extent.
amistre64
  • amistre64
ah, it even says using vectors ... create 3 vectors: A(4, 1, 7), B(-2, 1, 1) and C(-3, 5, -6) -4-1-7 -4-1-7 -4 -1 -7 ----------------------------------- 0 0 0 -6 0 -6 -7 4 -13 and we need one more between B and C B(-2, 1, 1) and C(-3, 5, -6) 2 -1 -1 2 -1 -1 ----------------------- 0 0 0 -1 4 -7

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amistre64
  • amistre64
we need to test 3 possibilities a.b a.c b.c
amistre64
  • amistre64
a.b a.c b.c -1 4 -7 -1 4 -7 -6 0 -6 -6 0 -6 -7 4 -13 -7 4 -13 --------------------------------- 6+0+42 7+16+.... 42+0+.... none of these zero out do they
amistre64
  • amistre64
dot each vector to itslef and sqrt it to determine length
amistre64
  • amistre64
-1 4 -7 -6 0 -6 -7 4 -13 -1 4 -7 -6 0 -6 -7 4 -13 ------------------------------------ 1+16+49 36+36 49+16+169 sqrt the results and add em up
anonymous
  • anonymous
thanks
amistre64
  • amistre64
yw

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