4.6 Calculating dot-products, cross-products, and angles between vectors. (Section 5.2.3). ant Iь, ь, ь, The "R...
4.6 Calculating dot-products, cross-products, and angles between vectors. (Section 5.2.3). ant Iь, ь, ь, The "R rotation table relates two sets of right-handed, or- ax 0.9623 -0.0842 0.2588 thogonal, unit vectors, namely ây 0.1701 0.9284 -0.3304 ây, ây, âg and bx, by, by â, -0.2125 0.3619 0.9077 (a) Efficiently determine the following dot-products and angles between vectors (2+ significant digits). Then perform the following calculations involving Vi = 2 ax and V2 = ax + bx! a, a = broby = 0 lâx • box = la - b = | b ây = 2(ây, a) = 2(6,6x) = 0 <lâ, b) = 2(b , a) = Result: 0.02 = LV1, V2) = x 2 = by + b₂ = 2y + 2z (b) Express the unit vector in the direction of 3a, + 4b, in terms of a, and b. Express j = ây + by in terms of âx, ây, ây. Result: û = a + b - ř= âx + 2y +