Introduction:
To find the vector joining two points A and B, we need to subtract the coordinates of point A from point B.

Given:
Point A(1,1,-1) and Point B(2,-3,4)

Method:
To find the vector joining A and B, we need to subtract the coordinates of A from B as follows:

• x-coordinate of vector joining A and B = x-coordinate of B - x-coordinate of A
• y-coordinate of vector joining A and B = y-coordinate of B - y-coordinate of A
• z-coordinate of vector joining A and B = z-coordinate of B - z-coordinate of A

Calculation:
Using the above method, we get the vector joining A and B as:

• x-coordinate of vector joining A and B = 2 - 1 = 1
• y-coordinate of vector joining A and B = -3 - 1 = -4
• z-coordinate of vector joining A and B = 4 - (-1) = 5

Therefore, the vector joining the points A(1,1,-1) and B(2,-3,4) and pointing from A to B is (1, -4, 5).

Conclusion:
Thus, the vector joining the points A and B is (1, -4, 5).

It is B-A
(2-1)icap (-3-1) j cap [4-(-1)]k cap
icap minus 4 j cap plus 5 k cap