32 CHAPTER 3 The diagram below shows th it cannot sail directly into the wind 35

Question

32 CHAPTER 3 The diagram below shows th it cannot sail directly into the wind 35. s because Noth Ease 1732m 290 The total displacement of the sailboat, the vector sum of its displacements OB, BC, CD and DE, is a. b. c. d. e. 1732 m, East. 2000 m, Northeast. 6 298 m, East. 8000 m, Southeast. 8 000 m, East. 37. Each of two vectors, D, and D, lies along a coordinate axis in the x-y plane. Each vector has its tail at the origin, and the dot product of the two vectors is D.D, D. Which possibility is correct? a. D, and D, both lie along the positive x-axis. b. D lies along the positive x-axis. D, lies along the negative x-axis. c. D, and D, both lie along the positive y-axis. d. D, lies along the negative r-axis. D, lies along the negative y-axis. e. D, lies along the positive y-axis. D, lies along the negative y-axis.

Explanation / Answer

magnitude of displacement is the shortest distance between two points

the shortest distance between point O and E will give the total displacement of path OB, BC, CD and DE

so,

the shortest distance between point O and point E is the straight line joining them

so,

shortest distance between point O and E is 6298 m

so,

the total displacement will be 6298 m, east

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