abby186
17.09.2019 •
Mathematics
Determine whether the given vectors are orthogonal, parallel, or neither. (a) a = 9, 6 , b = −4, 6 orthogonal parallel neither (b) a = 8, 7, −3 , b = 5, −1, 7 orthogonal parallel neither (c) a = −4i + 12j + 8k, b = 3i − 9j − 6k orthogonal parallel neither (d) a = 3i − j + 3k, b = 3i + 3j − 2k orthogonal parallel neither
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Ответ:
(a) Orthogonal, (b) Neither, (c) Parallel, d( Orthogonal
Step-by-step explanation:
a and b are parallel is a=kb
a and b if a dot b = 0
(a) a dot b = (9)(-4)+6(6)=-36+36=0
a and b are orthogonal
(b) a dot b = 40-7-21=12
a=kb -> there is no k value satisfying the equation
a and b are neither parallel or orthogonal
(c) a dot b = -12-108-48=-168
a=kb -> k=-3/4 satisfies the equation
a and b are parallel
(d) a dot b= 9-3-6=0
a and b are orthogonal
Ответ:
options 1 and 5 on Edge2020