In: Physics
What are (a) the x component, (b) the y component, and (c) the z component of r Overscript right-arrow EndScripts equals a Overscript right-arrow EndScripts minus b Overscript right-arrow EndScripts plus c Overscript right-arrow EndScripts if a Overscript right-arrow EndScripts equals 5.4 i Overscript ̂ EndScripts plus 1.9 j Overscript ̂ EndScripts minus 3.6 k Overscript ̂ EndScripts , b Overscript right-arrow EndScripts equals negative 4.1 i Overscript ̂ EndScripts plus 5.4 j Overscript ̂ EndScripts plus 3.7 k Overscript ̂ EndScripts , and c Overscript right-arrow EndScripts equals 7.1 i Overscript ̂ EndScripts plus 3.3 j Overscript ̂ EndScripts plus 5.0 k Overscript ̂ EndScripts . (d) Calculate the angle between r Overscript right-arrow EndScripts and the positive z axis. (e) What is the component of a Overscript right-arrow EndScripts along the direction of b Overscript right-arrow EndScripts ? (f) What is the magnitude of the component of a Overscript right-arrow EndScripts perpendicular to the direction of b Overscript right-arrow EndScripts but in the plane of a Overscript right-arrow EndScripts and b Overscript right-arrow EndScripts?