1 Given vector V 23 and K 41 find a The magnitude of V b V

1. Given vector V = (-2,3) and K = (4,-1) find

a, The magnitude of V.

b, V+K.

c, -2K+3V.

d, The magnitude of 3/7V - 2/5K (Use integers of fractions for any numbers in the expression).

2. Suppose that vectors A and B are at right angles. Find the magnitude and direction (the angle from vector A in degrees and radians) of the resultant. (Simplify you answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)

A= 2 B= square root of 3

b. A = 12 B= 6

c. A=9 B= Ine^9

This is all there is to the question.

4.-1), find Given vector = -23) and = a. The magnitude of d. The magnitude of ---5 (Use integers or fractions for any numbers in the expression). Suppose that vectors A and B are at right angles. Find the magnitude and direction (the angle from vector A in degrees and radians) of the resultant. (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) b. A-12 B-6

Solution

V = (-2, 3) K = (4 , -1 )

a) |V|= sqrt ( -2^2 + 3^2 )

= sqrt 13

magnitude of V = sqrt 13

b) V + K = ( -2 + 4 , 3 -1 )

= ( 2 , 2 )

c) -2k + 3v = -2 (4,-1) + 3 (-2 , 3)

= (-8 , 2 ) + (-6 , 9 )

= ( -14 , 11)

d) 3/7 v - 2/5 k

= 3/7 ( -2,3) - 2/5 ( 4 , -1 )

= (-6/7 , 9/7 ) - ( 8/5 , -2/5 )

= (-86/35 , 59/35 )