MATH SOLVE

3 months ago

Q:
# Which of the following is the best estimate of the direction of the given vector?

Accepted Solution

A:

Answer:The direction of the given vector is 45° N of WStep-by-step explanation:* Lets revise the four directions with the four quadrants- The four directions are:# North which represented by the positive part of y-axis# South which represented by the negative part of y-axis# East which represented by the positive part of x-axis# West which represented by the negative part of y-axis∴ The first quadrant is between the East and the North∴ The second quadrant is between the West and the North∴ The third quadrant is between the West and the South∴ The fourth quadrant is between the East and the South* The direction of any vector is tan Ф, where Ф is the angle between the vector and the x-axis, then:- The direction of North of East is 45° ⇒ first quadrant- The direction of North of West is 45° ⇒ second quadrant- The direction of South of West is 45° ⇒ third quadrant- The direction of South of East is 45° ⇒ fourth quadrant* Now lets solve the problem∵ The direction of the vector is between the North and the West (its vertex in the second quadrant)∴ Its direction is 45° North of West* The direction of the given vector is 45° N of W