Chapter 11.2, Problem 61E

Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check your work against the answers in the back of the book. Write w=(7,2,4) as a linear combination of the vectors v1, v2 and v3 if possible. v1=(2,1,0), v2=(1,1,0), v3=(0,0,6)

VelocitySuppose that in Exercise 55 the current is flowing at 1.2 mi/hr due south. In what direction should the swimmer head in order to arrive at a landing point due east of his starting point? VelocityA river flows due south at 3mi/h. A swimmer attempting to cross the river heads due east swimming at 2mi/h relative to the water. Find the true velocity of the swimmer as a vector.

Justifying Q-2: [2x5 marks] Answer the following questions as True or False your answer (4 marks): 2.1:11A= -B- with (ra) (A) = 20, then r- +1. 2.2: There exit values of a E R such that the vectors (1,1,1), (2,2,2) and (3, a, 4) are linearly independent.