Final answer:
To find FH given FG and GH on a straight line, we sum the expressions for FG (7x - 3) and GH (3x + 17) to get FH = 10x + 14, where x is not provided.
Step-by-step explanation:
The student is asking to find the length of vector FH, given that FG and GH are parts of a straight line where FH is the sum of FG and GH. To find FH, we need to add the lengths of FG and GH. Given that FG = 7x - 3 and GH = 3x + 17, we can set up the equation FH = FG + GH, which simplifies to FH = (7x - 3) + (3x + 17). Therefore, summing up the expressions we get FH = 10x + 14. To find the exact length of FH, we would need the value of x, which is not provided in the question.