> _) b = ab cos B, and the fact that T; - b = (1be + ayby+ 02192 to calculate the angle between the Use the denition of scalar product, :1) - A A A 4) A A A two vectors given by;) = 2.0i + 2.0j + 2.0k and b = 5.0i + 2.0j + 3.0k. Number n Units v Current Attempt in Progress > Inthe cross (or vector] product F = q q = 1 > A A A F = 45+11j+48k Y} = 5.0? + 3.0\"} + 4.0;: _) B = 39+ 33+ 322 } _) D X _*, B we know that What then is B in unit-vector notation if BX = BY? _) B= A f+ Pr) Jungle gym, dot products, unit vectors. A coordinate system is laid out along the bars of a large 3D jungle gym (the gure below). You start at the origin and then move according to the following instructions. The direction for each move is explicitly shown but the distance {in > > meters] you move in that direction must be determined by evaluating a dot product ofthe given vectors A and B. For example, the rst move is 21 m in the x direction. What is the magnitude dnet of your nal displacement from the origin? > A > A {a} x, A = 3.0i, B = 7.0i > A > - {blz, A = 2.0k, B = 3.0j 'r A > A {c}+y, A = 5.0j, B = 3.0j ) A > A {d]+x, A = 7.0k, B = 2.0k 'r A 'r A {e]z, A 2 3.0L B = 2.0i a . 4) {fly, A = 3.0L B = 7.0} Number I Units v