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Find the vectors from the origin to the ...

Find the vectors from the origin to the points of trisection the vector `vec(P_1P_2)` joining `P_1(-4, 3)` and P_2(5, -12).

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The correct Answer is:
`-hat(i)-2hat(j)` and `2hat(i)-7hat(j)`
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Find the vectors from the origin to the points of trisection of vector P_(1)P_(2) joining P_(1)(-4, 3) and P_(2)(5, -12) .

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Find the vector from the origin O to the centroid of the triangle whose vertices are (1,-1,2),(2,1,3),and (-1,2,-1).

Find the vector equation of the line joining (2,1,3) and (4,-2,5) .

find the position vector of the mid point of the vector joining the points P(2,3,4) and Q(4,1,-2).

Write the unit vector along vec(PQ) joining the points P(7,-4,5) to Q(7,1,5) .

Find the position vectors of the points which divide the line joining the two points 3vec(a) - 2 vec(b) and 2vec(a) - 5vec(b) internally and externally in the ratio 3:2.

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