What is the shortest distance between the lines -LSB- math -RSB- x - \ frac -LCB- 2 -RCB- -LCB- 3 -RCB- = y - \ frac -LCB- 3 -RCB- -LCB- 4 -RCB- = z - \ frac -LCB- 1 -RCB- -LCB- 4 -RCB- -LSB- / math -RSB- and -LSB- math -RSB- x - \ frac -LCB- 1 -RCB- -LCB- 2 -RCB- = y - \ frac -LCB- 2 -RCB- -LCB- 3 -RCB- = z - \ frac -LCB- 3 -RCB- -LCB- 4 -RCB- -LSB- / math -RSB- ?
How do you solve for -LSB- math -RSB- x -LSB- / math -RSB- in -LSB- math -RSB- \ frac -LCB- z ^ 4y ^ 2 -RCB- 3 = \ frac -LCB- \ sqrt -LCB- px -RCB- \ , b ^ 3 -RCB- -LCB- y ^ 4 -RCB- -LSB- / math -RSB- ?