Reverse Direction!
A bug flies from the point to the point . However, the bug is very indecisive and decides to fly three times as far in the opposite direction after landing at . Where will the bug land after this trip?
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1 solution
The vector in the direction of P Q would be ( − 1 , 7 , 4 ) − ( 3 , 4 , 5 ) = ⟨ − 4 , 3 , − 1 ⟩ . To travel three times as far in the opposite direction means multiplying that vector by − 3 , thus giving us the vector ⟨ 1 2 , − 9 , 3 ⟩ . We'll add this to Q to get our final answer ( − 1 , 7 , 4 ) + ⟨ 1 2 , − 9 , 3 ⟩ = ( 1 1 , − 2 , 7 ) .