The position vectors of the points P  and Q are 5 hat(i) + 7 hat(j) -2 hat(k) and - 3 hat(i) + 3 hat(j) + 6

### Question Asked by a Student from EXXAMM.com Team

Q 2272501436.     The position vectors of the points P  and Q are

5 hat(i) + 7 hat(j) -2 hat(k) and - 3 hat(i) + 3 hat(j) + 6 hat(k) respectively. The

vector

vec(A) = 3 hat(i) - hat(j) +hat(k) passes through the point P and the vector

vec(B)= -3 hat(i) + 2 hat(j) + 4 hat(k) passes through the point Q. A third

vector 2 hat(i) + 7 hat(j) - 5 hat(k) intersects vectors vec(A)  and vec(B). The

position vectors of the points of intersection are
A

2 hat(i) + 8 hat(j) - 3 hat(k)

B

hat(i)+ hat(j) +2 hat(k)

C

2 hat(i) + hat(j) +2 hat(k)

D

hat(j) + 2 hat(k)`

#### HINT

(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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