convert the vector A = (3, 60 o ) intocartesian form. find a unit vector in the
ID: 1760036 • Letter: C
Question
convert the vector A = (3, 60o) intocartesian form. find a unit vector in the same direction as thevector A. QUESTION # 2: convert the vector B = (-1, -1) = -i - j into polar form.find a unit vector in the direction of B ...write youranswer both in polar and cartesian form. question # 3: find A +B , in polar form. where A = (6,30o) and B = (4,0o). use the law of sines andcosines to obtain your answer. question # 4: your start you campsite and hike 3 miles due north ,4 miles northest and 5 miles due west. how far are you fromyour campsite and in what direction should you hike to returndirectly to camp? convert the vector A = (3, 60o) intocartesian form. find a unit vector in the same direction as thevector A. QUESTION # 2: convert the vector B = (-1, -1) = -i - j into polar form.find a unit vector in the direction of B ...write youranswer both in polar and cartesian form. question # 3: find A +B , in polar form. where A = (6,30o) and B = (4,0o). use the law of sines andcosines to obtain your answer. question # 4: your start you campsite and hike 3 miles due north ,4 miles northest and 5 miles due west. how far are you fromyour campsite and in what direction should you hike to returndirectly to camp?Explanation / Answer
Vector A = 3 cos 60 i + 3 sin 60 j = 1.5 i + 2.598 j Unit vector in the direction of A is a = vector A / mod A = ( 1.5 i + 2.598 j ) / [ 1.5 ^ 2 + 2.598 ^ 2 ] = 0.5 i + 0.866 j (2). B = -1 i - 1 j magnitude r = [ ( -1 ) ^ 2 + ( -1 ) ^ 2 ] = 2 angle with x - axis is = 180 +tan -1 ( 1 / 1 ) = 180 + 45 = 225 degrees So, B = ( 2 , 225 degrees ) Unit vector b = vector B / mod B = ( -i - j ) / 2 = - ( 1/ 2 ) i - ( 1/ 2 ) jRelated Questions
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