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Question
A vector joining two points with coordinates (1,2,3) & (-1, 4 ,2) can be written as -
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Solution
The correct option is A -2i + 2j - k
We have seen that the direction ratios of a line joining two points(x1,y1,z1) and (x2,y2,z2) =(x2−x1,y2−y1,z2−z1)
So we’ll have direction ratios of a as (-1 -1 , 4 -2, 2 -3)
Or (-2, 2 , -1)
Now this line in the vector form = -2i + 2j - k
We have seen that the direction ratios of a line joining two points(x1,y1,z1) and (x2,y2,z2) =(x2−x1,y2−y1,z2−z1)
So we’ll have direction ratios of a as (-1 -1 , 4 -2, 2 -3)
Or (-2, 2 , -1)
Now this line in the vector form = -2i + 2j - k
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