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homework4

# homework4 - Leta=3i b=i j Find2a b A)lli j B}i?j C?i j D?i...

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Unformatted text preview: Leta=3i, b=i+j. Find2a+b. A)lli+j B}i+?j C}?i+j D}?i+2j Leta=(—4, 7), b =(5, —2). Find a+ b. A) {3: 3} Eli-5:12} C} (I, 5} U} (-9: 9} Let a = {—6, 9}, b = (—3, —1). Find b — a. A) {15: 7} B} (-14; 3} C} (5: 43’} U} {-1 4”} Let a = {1, —ﬁ. Find 5a. A) (-5: 45‘} B} {5, £3 C} (—5. 33 D} {5: 35} Choose the sketch of sectors 11 and or with angle [-1 between them and the resultant. Iul =5, A} B} Z A 1|" 1" Choose the sketch of vectors 1.1 and w with angle 3 between them and the resultant. w|=5,9=45” |u|=5,|w|=1,8=60‘” at} B} l in ”\$3“ I]. Choose the sketch of vectors u and or with angle B between them and the resultant. Iul = 45; |w| = 25, e = 36° a.) s} :r...» . - Find the magnitude and direction angle. Give the measure of the direction angle as an angle in [ESE-[1°]. (4. 4) a.) N5; 45° 3} NE; 225“ C} 8; 45" o} 4; 225° Find the magnitude and direction angle. Give the measure of the direction angle as an angle in [ESE-[1°]. (—14, G} A) 14; 130“ B}196; 180° C} 14; 2571]“ D} 14; 90° Find the magnitude and direction angle. Give the measure of the direction angle as an angle in [ELSE-[1°]. a.) 6; 90“ s} 6; 25’6“ C} 36; 25W o} 6; 180° Find the magnitude and direction angle. Give the measure of the direction angle as an angle in [ﬂ,3ﬁﬂ°l. (4N5. 4x15) A) ENE; 135° s13; 45" c} 16; 45° 1118,: 225° 1:: =535°J lvl = 65.4 Vac {or v has the given magnitude and direction. Find the horizontal component of v. A} 13.? s} 52.6 (338.9 13} 91.5 Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in the ﬁgure. Round to one decimal place. 5511:: 3.5" 98 lb A} 130.3 II: B} 21,4595 1!: C} 132.? lb [1} 146.5 the Find the component form of the indicated vector. Letu = (7', 4), v = (—3’, —6). Find u + v. A){14,1Eb B} {1, —3) C} (11, —13} D101, —2} Find the component form of the indicated vector. Letu = (9, 49), v = (1, 2). Find 1: — u. A) {—13, 1} B} {—s, 11} C} (—‘5’, 1:9 D} (111, —7) Find the component form of the indicated vector. Let u = (4, —2). Find on. A} {24. 42} E} (as. 12} C} (—24. 41\$ D} {—24, 12} Find the component form of the indicated vector. Let u = {1, —6). Find 4m. A) {-142} B} (it 42} C} (5?. 41'} o} {—52 4.2} Find the component form of the indicated vector. Let u = (2, —6), v = {6, 4). Find 41: + 3v. A} {—32, 40} B} (In. 40} C} (10.12} D} (—26: 36} Write the vector in the form ai + bj. (5, 9) A}—5i+9j s}5i+9j QQi—Sj o}9i+5j Two forces of 532 newtons and 151 newtons act at a point. The resultant force is 593 newtons. Find the angle between the forces. A} 106.6” s} 161'?” C} 12?.0‘” D} 713.4“ A plane is heading due south with an airspeed of 22? mph. A wind from a direction of 5.7” is blowing at 16 mph. Find the bearing of the plane. A) 3.?" 15992“ C} 13’3" o} 133° _ A pilot wants to ﬂy on a bearing of 63.2“. B}; flying due east, he finds that a 52—mph wind, blowing from the south, puts him on course. Find the ground speed of the plane. A) 231 mph B}1?3 mph {1'} 115 mph D} 53 mph A force of 504 lb is required to pull a boat up a ramp inclined at 26° with the horizontal. How much does the boat weigh? a; 1603 lb 131.453 1h C} 47ft; lb 13} 1150 11: Suppose you would like to cross a 210—foot wide river in a boat. Assume that the boat can trave132 mph relative to the water and that the current is flowing west at the rate of 6 mph. What hearing should be chosen so that the boat will land at a point exactly across from its starting point? Give your answer to the nearest tenth of a degree. A} 3.6“ a} 10.3” C} 179.2“ 1:312“ ...
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homework4 - Leta=3i b=i j Find2a b A)lli j B}i?j C?i j D?i...

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