On November 1, 20X5, US Frigatebird Company sold an airplane worth $1 million Australian dollars to Australian company Heron Inc. receivable on February 1, 20X6. In order hedge foreign exchange, Frigatebird entered into a 90 day forward contract on the same day for the amount of the sale at.76 US per Australian dollar. The relevant exchange rates are of US dollars per Australian dollar: .74 Spot Rate Forward Rate November 1, 20X5 .76 December 31, 20X5 .71 .75 February 1, 20X6 .79 Required: Record the necessary journal entries to account for the above transactions in the specified dates. Find the components of the vector P1P2. (a) P1(3,5,7), P228, ) (b) P101.-2.-8). P2/0, 0,5) (c) P165.-2. 1). P22.42) In each part, find the dot product of the vectors and the cosine of the angle between them (a) u = 1+2), v-61-8 (b)-(-7.-3). - (0.1) (c) u-i - 3j+7k v=81-21 - 2k Find u xv and check that it is orthogonal to both u and y. 3.1 -1.2-3. - 4.1.2 4. u - 31+2) - kv1-3jk Find parametric equations for the line whose vector equation is given 5. (a) (x, y)-(2-3) + (1.-4) (b) xi+yj+kk+1(-i+) 6. (a) xi+yj-31-41 +1 2+1 (b)..:)(-1,0.2) + (-1.3.0) Find an equation of the plane that passes through the point P and has the vector n as a normal. 3. P26, : (1.4.2) 4.P-1.-12): - (-1.7.6) Find the distance between the point and the plane. 43. 41,42, 3): 2x-2y+z=4 Convert from spherical to rectangular coordinates 7. (a) 6.6, 4) (b) (0, 2/2) (e) (1.2.0) (d) 2.322. 22)