chapter 2a mcq's

8/18/2019 Chapter 2a Mcq's

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CHAPTER 2A DIRECTED QUANTITIES

1. The direction of a vector in a plane i denoted !" the an#le $hich the

vector %a&e $ith poitive '(a'i in the)a* anti(cloc& $ie direction )!* cloc&($ie direction )c* +p$ard )d*

do$n$ard2. Rectan#+lar co%ponent of a vector are thoe co%ponent $hich have

the follo$in# an#le !et$een the% i)a* , )!* -, )c* / )d* 0,

-. The vector ⃗a b and ⃗c are related !" ⃗c b 3 ⃗ a . 4hich

dia#ra% !elo$ ill+trate thi relationhip5

-. T$o conc+rrent force have a %a'i%+% re+ltant of / N and a %ini%+%

re+ltant of / N. 4hat i the %a#nit+de of each of thee force5

a. , N and / N !. / N and 0 N c. 2, N and 2/ N d. , N

and /, N

ANSWER: The re+ltant of t$o vector varie fro% arith%etical

di6erence to it arith%etical +% for an an#le of 17,o to ,o

repectivel". Th+ the co%ponent vector ho+ld !e a!le to #ive +%

e8+al to /N and di6erence e8+al to /N.

9nl"c (20 N, 25 N)

f+l:l thi condition $hich i theCORRECT

an$er.

/. The %ini%+% n+%!er of +n(e8+al force $hoe vector +% can !e ;ero are<

a. one !. t$o c. three d. fo+r an.c


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11. Tri#ono%etr" i applica!le to:

a. an" trian#le !. a rectan#le c. S8+are d. a ri#ht

an#led trian#le

12. T$o force each of %a#nit+de are actin# on a !od" are at ri#ht an#le to each

other their re+ltant $ill !e<

a. 2 !. √ 2 c. √ 2 F d. 2 √ F an.

1-. A vector |S| of %a#nit+de = and another vector |T | have a +% of

%a#nit+de 12. The vector T<

A. %+t have a %a#nit+de of at leat = !+t no %ore than 17

. %a" have a %a#nit+de of 2,

C. cannot have a %a#nit+de #reater than 12

D. %+t !e perpendic+lar to |S|

E. %+t !e perpendic+lar to the vector +%

an< A

1. A vector of %a#nit+de 2, i added to a vector of %a#nit+de 2/. The %a#nit+de

of thi +%

%i#ht !e<

A. ;ero . - C. 12 D. ? an< C

1/. If | A +B| 2 A2 @ 2 then<

A. | A | and |B| %+t !e parallel and in the a%e direction

. | A | and |B| %+t !e parallel and in oppoite direction

C. either | A | or |B| %+t !e ;ero

D. the an#le !et$een | A | and |B| %+t !e =,

E. none of the a!ove i tr+e

an< E


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1=. If F A @ F A @ and neither A nor |B| vanih then<

A. | A| and |B| are parallel and in the a%e direction

. | A| and |B| are parallel and in oppoite direction

C. the an#le !et$een | A| and |B| i /

D. the an#le !et$een | A| and |B| i =,

E. | A| i perpendic+lar to |B|

an< A

1?. If FA 3 F A @ and neither | A | nor |B| vanih then<

A. | A | and |B| are parallel and in the a%e direction

. | A| and |B| are parallel and in oppoite direction

C. the an#le !et$een | A | and |B| i /

D. the an#le !et$een | A| and |B| i =,

E. | A | i perpendic+lar to |B|

an<

17. Gector | A | and |B| lie in the '" plane. 4e can ded+ce that | A| |B|

if<

A. A2' @ A2' 2' @ 2" . A' @ A" ' @ "C. A' ' and A" "

D.A"A' "' an< C

10. A vector ha a %a#nit+de of 12. 4hen it tail i at the ori#in it lie !et$een the

poitive '

a'i and the ne#ative " a'i and %a&e an an#le of -, $ith the ' a'i. It "

co%ponent i<

A. =- . 3=- C. = D. 3= an< D


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2,. If the ' co%ponent of a vector | A| in the '" plane i half a lar#e a the

%a#nit+de of the

vector the tan#ent of the an#le !et$een the vector and the ' a'i i<A. - . J C. -2 D. -2 an< D

21. If A K=%L î 3 K7 %L

̂j then | A | ha %a#nit+de<

A. 1,% . 2,% C. -,% D. ,% an< D

22. A vector ha a co%ponent of 1,% in the @' direction a co%ponent of 1,% in

the @" direction and a co%ponent of /% in the @; direction. The %a#nit+de of thi

vector i<

A. ;ero . 1/% C. 2,% D. 2/% an<

2-. A vector in the '" plane ha a %a#nit+de of 2/% and an ' co%ponent of 12%.

The an#le it

%a&e $ith the poitive ' a'i i<

A. 2= . 20 C. =1 D. = an< C

2. The an#le !et$een A K2/ %L î @ K/ %L

̂j and the poitive ' a'i i<

A. 20 . =1 C. 1/1 D. 2,0 an<

2/. The an#le !et$een A K32/ %L î @ K/ %L

̂j and the poitive ' a'i i<

A. 20 . =1 C. 110 D. 1/1 an< C

2=. A certain vector in the '" plane ha an ' co%ponent of % and a " co%ponentof 1,%. It i

then rotated in the '" plane o it ' co%ponent i do+!led. It ne$ " co%ponent i

a!o+t<

A. 2,% . ?.2% C. /.,% D. ./% an<


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2?. T$o vector have %a#nit+de of 1,% and 1/ %. The an#le !et$een the% $hen

the" are dra$n $ith their tail at the a%e point i =/. The co%ponent of the

lon#er vector alon# the line

perpendic+lar to the horter vector in the plane of the vector i<

A. , . .2% C. =.-% D. 1% an< d

27. The val+e of î · ( ̂j × k̂ ) i<

A. ;ero . @1 C. 31 D. - E. - an<

20. The val+e of k̂ · ( k̂ × î ) i<

A. ;ero . @1 C. 31 D. - E. - an< A

chapter 2a mcq's

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