Please answer questions 3 , 4 and 5 3. Which of the following pairs of vectors cannot be added to give a resultant vector of 3 m?a)2 m + 1 mb)4 m + 1 mc)2 m + 3 md)1 m + 5 m.4. A man walks 8 miles north and then 6 miles east. What is his resultantdisplacement from his starting point?5. A vector of 9 ft and another of 5 ft can be added to give a resultant vector ofa)0 ftb)2 ftc)3 ftd)15 fte)10 ft.6. A boat crossing a 0.2 mi wide river is heading perpendicularly relative to the shore. Its speed instill water is 4 mph and the speed of the current is 6 mph.this cellisi na) How far downstream will the boat land?b) How long will it take for the boat to crossi. with the current?ii. without the current?7. OptionalThe three sides of any right triangle are related to each other by the pythagorean theorem, c2 = a² + b²,where (a) and (b) are the legs of a right triangle and (c) the hypotenuse. This relationship permits analgebraic solution for the resultant of two vectors at right angles. Example: given that A = 3 in. and B = 4in., find C.c2 = a 2 + b2c2 = 32 + 42c2 = 9 + 16Hypotenuselegc2 = 252c = 590°leg21

Answered: 3. Which of the following pairs of…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Please answer questions 3 , 4 and 5

3. Which of the following pairs of vectors cannot be added to give a resultant vector of 3 m?
a)2 m + 1 m
b)4 m + 1 m
c)2 m + 3 m
d)1 m + 5 m.
4. A man walks 8 miles north and then 6 miles east. What is his resultant
displacement from his starting point?
5. A vector of 9 ft and another of 5 ft can be added to give a resultant vector of
a)0 ft
b)2 ft
c)3 ft
d)15 ft
e)10 ft.
6. A boat crossing a 0.2 mi wide river is heading perpendicularly relative to the shore. Its speed in
still water is 4 mph and the speed of the current is 6 mph.
this cellisi n
a) How far downstream will the boat land?
b) How long will it take for the boat to cross
i. with the current?
ii. without the current?
7. Optional
The three sides of any right triangle are related to each other by the pythagorean theorem, c2 = a² + b²,
where (a) and (b) are the legs of a right triangle and (c) the hypotenuse. This relationship permits an
algebraic solution for the resultant of two vectors at right angles. Example: given that A = 3 in. and B = 4
in., find C.
c2 = a 2 + b2
c2 = 32 + 42
c2 = 9 + 16
Hypotenuse
leg
c2 = 252
c = 5
90°
leg
21

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