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Question
Choose the correct alternative:
Two vertices of a triangle have position vectors `3hat"i" + 4hat"j" - 4hat"k"` and `2hat"i" + 3hat"j" + 4hat"k"`. If the position vector of the centroid is `hat"i" + 2hat"j" + 3hat"k"`, then the position vector of the third vertex is
Options
`- 2hat"i" - hat"j" + 9hat"k"`
`- 2hat"i" - hat"j" - 6hat"k"`
`2hat"i" - hat"j" + 6hat"k"`
`- 2hat"i" + hat"j" - 6hat"k"`
Solution
`- 2hat"i" - hat"j" + 9hat"k"`
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