h) Find the value of a if aî + 3j +8k and 4j- 4î +9k are perpendicular to each other?
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h) Find the value of a if aî + 3j +8k and 4j- 4î +9k are perpendicular to each other?
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Answer:
For two vectors to be perpendicular-
a.b=0
⟹(2i+mj−3k). (i−2j+k) = 0
⟹2−2m−3 = 0
⟹m= 2 − 1
Answer:
a = -15
Step-by-step explanation:
aî + 3j +8k and 4j- 4î +9k are perpendicular to each other
(aî + 3j +8k) . (4j- 4î +9k) = 0
4a -12 +72=0
4a = -60
a = -15