The dot products of a vector with the vector
and
are 0, 5 and 8 respectively. Find the vector.
Let the unknown vector be:![]()
∴ ![]()
⇒ a + b - 3c = 0 …(1)
![]()
⇒ a + 3b - 2c = 5 …(2)
![]()
⇒ 2a + b + 4c = 8 …(3)
Solving equations 1 ,2,3, simultaneously we get:
a = 1,b = 2,c = 1
∴ ![]()
Ans: ![]()
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