The position vectors of three points A, B and C (relative to an origin O) are given by
a = i + j + 2k , b = 2i + 3j + 5k , c = 2i + 4j + 2k .
Determine the position vector of the point D halfway along BC.
a = i + j + 2k , b = 2i + 3j + 5k , c = 2i + 4j + 2k .
Determine the position vector of the point D halfway along BC.
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Okay, time for some naughty Maths.
Making gross assumptions due to the unsusual format of your question...
Our calculation is b + c divided by 2, with respect to the origin.
therefore...
(4i + 7j + 7k)/2 as you write it.
giving 2i + 3.5j + 3.5k
But the format of this question/answer is naturally poor as it is hard to display vectors/ co-ordinates on here.
Making gross assumptions due to the unsusual format of your question...
Our calculation is b + c divided by 2, with respect to the origin.
therefore...
(4i + 7j + 7k)/2 as you write it.
giving 2i + 3.5j + 3.5k
But the format of this question/answer is naturally poor as it is hard to display vectors/ co-ordinates on here.