Question
number 59 ,linear algebra question
2kg), and 5kg). (5, 2, the in Pig (mass u4 0) 53. Determine how to divide a total mass of 11kg among that Tip-to vectors u (-1,3), u2 (3, -2), and us (5,2) so then the center of mass is (13/11, 16/11). 54. Determine how to divide a total mass of 11kg among the (a) V vectors u1 (1, 1, 2), u2 (2, 1, 0), u (0, 3, 2), and (b) T 1) so that the center of mass is (4/11,5/11, 12/11). (c) FINDAN EXAMPLE For Exercises 55-62, find an example that (d) meets the given specifications. Expl 55. Two nonzero u and vin R such that u-tv (3, 2, -1). usin vectors 56. Two nonzero vectors u and v in R4 such that u v In E (4, -2, 0, -1). ther 57. Three nonzero vectors in R whose sum is the zero vector. 58. Three nonzero vectors in R4 hose sum is the zero vector. 59. Two vectors u and v in R that point in the same direction. 76. 60. Two vectors u and v in R2 that point in opposite directions.
Explanation / Answer
Let any arbitary vector in two dimension as
u=<2,3>
Now to obtain a vector in same direction, multiply it by any constant say "2"
v= <2*2, 2*3> =<4,6>
So one of possible answer is
u=<2,3> and v=<4,6>
