39-42 - Properties of Vectors Let u, v, and w be vectors, and let c be a scalar. Prove the given property. 39. u.v = v•u 40. (cu) •v = c(u -v) = u (cv) 41. (u + v) w =u.w + v• w 42. (u - v). (u + v) = u |2 - |v|
39-42 - Properties of Vectors Let u, v, and w be vectors, and let c be a scalar. Prove the given property. 39. u.v = v•u 40. (cu) •v = c(u -v) = u (cv) 41. (u + v) w =u.w + v• w 42. (u - v). (u + v) = u |2 - |v|
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Transcribed Image Text:39-42 - Properties of Vectors Let u, v, and w be vectors, and
let c be a scalar. Prove the given property.
39. u.v = v•u
40. (cu) •v = c(u -v) = u (cv)
41. (u + v) w =u.w + v• w
42. (u - v). (u + v) = u
|2 - |v|
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