Capitulo 8 de Wooton

1.S(2,-1,5) , T(4,3,3)

a) V=(4-2,3-(-1),3-5) = (2,4,-2)

b) V=2i+4j-2k

c) ǀǀVǀǀ=√(2)²+(4)²+(-2)² = √4+16+4 = √24 = 2√6 = 4.8989

2.S(2,1,5), T(-2,2,-1)

a) V=(-3-2,2-1,-1-5) = (-5,1,-6)

b) V=-5i+j-6k

c) ǀǀVǀǀ=√(-5)²+(1)²+(-6)² = √25+1+36 = √62 =  7.8740

3.S(0,4,5), T(5,-1,0)

a) V=(5-0,-1-4,0-5) = (5,-5,-5)

b) V=-5i-5j-5k

c) ǀǀVǀǀ=√(-5)²+(-5)²+(-5)² = √25+25+25 = √75 =  8.66

4.S(3,0,-2), T(0,4,6)

a) V=(5-0,-1-4,0-5) = (5,-5,-5)

b) V=-5i-5j-5k

c) ǀǀVǀǀ=√(-5)²+(-5)²+(-5)² = √25+25+25 = √75 =  8.66

5.S(-3,-3,-3), T(3,3,3)

a) V=(3-(-3),3-(-3),3-(-3) = (6,6,6)

b) V=-6i+6j+6k

c) ǀǀVǀǀ=√(6)²+(6)²+(6)² = √36+36+36 = 6√3 =  10.392304

6.S(0,0,3), T(-3,0,0)

a) V=(-3-0,0-0,0-3) = (-3,0,-3)

b) V=-3i+0j-3k

c) ǀǀVǀǀ=√(-3)²+(0)²+(-3)² = √9+0+9 = √18 =  4.24

7.S(5,-1,0), T(0,0,-2)

a) V=(0-5,0-1,-2-0) = (-5,-1,-2)

b) V=-5i-j-2k

c) ǀǀVǀǀ=√(-5)²+(1)²+(-2)² = √25+49+1 = √30 =  5.477

8.S(8,-6,-2), T(5,1,-1)

a) V=(5-8,1-(-6),-1-(-2)) = (-3,7,1)

b) V=-3i+7j+1k

c) ǀǀVǀǀ=√(-3)²+(7)²+(1)² = √9+49+1 = √59 =  7.681