PRINTABLE VERSION Quiz 21 Question 1 Let v be the vector with initial point (1, 2) and terminal point (5, 5). Express v as a linear combination of the standard unit vectors. a) 3i + 4j v= b) 4i + 3j v= c) 4i + 3j v= d) 4i 3j v= e) 4i 3j v= f) None of the above. Question 2 Let v be the vector with initial point (1, 4) and terminal point (5, 3) . Find the vertical component of this vector. a) 3 b) 7 c) 4 d) 8 e) 4 f) None of the above. Question 3 2i + 6j and 6i + 3j . v= Find the sum of the vectors u = a) 8i 8j v= b) 4i 3j v= c) 8i + 9j v= d) 9i 8j v= e) 3i + 4j v= f) None of the above. Question 4 5, 4 and v = 3, 2 ; find 3u + 4v . Given vectors u = a) 10, 32 v= b) 29, 10 v= c) 3, 20 v= d) 4, 27 v= e) 27, 4 v= f) None of the above. Question 5 5i 5j . Find the magnitude of the vector v = a) 0 b) 50 c) 50 d) 10 e) 5 2 f) None of the above. Question 6 3, 4 ; find a unit vector in the same direction as v . Given the vector v = a) 1 1 , 8 6 b) 3 4 , 5 5 c) 4 3 , 5 5 d) 3 4 , 25 25 e) 3, 4 f) None of the above. Question 7 Given the vector v = 3 , 1 ; find the direction angle of this vector. a) 3 b) 6 c) d) 3 2 e) 0 f) None of the above. 6 Question 8 5 v 10 = Find the vector given that its magnitude is and it makes an angle with the positive 6 x axis. a) 53 i 5j v= b) 53 i + 5j v= c) 53 i 5j v= d) 5i 53 j v= e) 53 i + 5j v= f) None of the above. Question 9 2, 1 and v = 3, 5; find the dot product u v . Given vectors u = a) 13 b) 11 c) 2 d) 1 e) 11 f) None of the above. Question 10 3, 4 and v = 5, 5; find the angle between these vectors. Given vectors u = a) 1 arccos ( 240 ) b) 2 arccos ( 10 ) c) 72 arccos ( 10 ) d) 72 arccos ( 10 ) e) 2 arccos ( 10 ) f) None of the above. Question 11 6i + 9j ; which of the following is a vector that is orthogonal to v ? Given vector v = a) 6i + 9j b) 6i 9j c) 18i + 6j d) 9i 6j e) 18i + 12j f) None of the above. Question 12 5, 5 and v = x, 2 are orthogonal; find the value of x . Given that vectors u = a) 2 b) 2 c) 10 d) 1 e) 10 f) None of the above