Question

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16) On a man the town of Morgan Run is due south of Davidson and is south east of Vicksburg. The distance from Morgan Run to Davidson and Vicksburg are 32 and 52 miles respectively. The distance between Davidson and Vicksburg is 42 miles. If a plane leaves Morgan Run to fly to Vicksburg, on what bearing should it travel? 17) A vector v has initial point (3,-6) and terminal point (2, -3). a. Find the component form. b. Determine the magnitude. 18) Find the component form of the vector with ||0|| = 20 direction angle of 150°. 19) Find the angle between v and w, when v = 2i + 6j and w = -3i + 5j. 20) Determine if the following vectors are orthogonal, parallel, or neither. v = 4i - 18j w = -21 + 9j a. b. v = 6i - 4j w = -3i C. u = 3i - 12] V = -4i-

Answer 1

16 و امC ( est try 2 (52) (37) 59 و 6 53.9 - م|د (۱) (4) = (رلا,x) (3,- 6) (3- ره) = (ہلا را درلا - ہوا ( - ) = 3 ( - 3) : (-3 +6) 31 + ۔ (((((م1 2 2 (روا - ,2 + 2(رد درام 32 ريح وأما = + 18 که llull cos o lt llull sino رہ 20 ros iso i + 20 sin 150 ? قره+ترده وه - للأموات و CS Scanned with CamScanner

(19) We We know, v.no = V W x + Vy Wy Also 7. ñ 11 w loso V x W x + Vy wy 11 310 W) oso (2)(-3) +6205) = (2+62 J3 +52 Cose coso 24 / 1360 24 9/1360 -) = 49.409 (2 . since a -2 h -a l-ai tai 41 -18 - Hence parallel (b) Botan Lamy I ER Hence Also 3.0 neither Neither orthogonal nor parallel 10 ū. =3(<4) + (121-)) = ů & V are or thogonal CS Scanned with CamScanner