A Surveyor Wants to Measure the Height of a Building $\overrightarrow { A C }$

Short Answer

A surveyor wants to measure the height of a building.At point A = ( 733, -369, 0)on the ground, she observes that the vector $\overrightarrow { A C }$ is parallel to $- 3 \vec { i } + 2 \vec { j } + 6 \vec { k }$ , where C is the highest point of the building.At point B = (418, 471, 0)she observes that the vector $\overrightarrow { B C }$ is parallel to $- 3 \vec { i } - 4 \vec { j } + 12 \vec { k }$ .Given that ground level is the plane z = 0 and the units are feet, find the height of the building.