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If hat(i)+2hat(j)+3hat(k)and2hat(i)-hat(...

If `hat(i)+2hat(j)+3hat(k)and2hat(i)-hat(j)+4hat(k)` are the position vectors of the points A and B, then the position vector of the points of trisection of AB are

A

`(4)/(3)hat(i)+hat(j)+(10)/(3)hat(k),(5)/(3)hat(i)+(11)/(3)hat(k)`

B

`-(4)/(3)hat(i)-hat(j)-(10)/(3)hat(k),-(5)/(3)hat(i)-(11)/(3)hat(k)`

C

`(4)/(3)hat(i)-hat(j)-(10)/(3)hat(k),(-5)/(3)hat(i)+(11)/(3)hat(k)`

D

`-(4)/(3)hat(i)+hat(j)-(10)/(3)hatk,(5)/(3)hat(i)-(11)/(3)hat(k)`

Text Solution

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The correct Answer is:
A
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