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Vector Algebra

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Question
CBSEENMA12036126
Wired Faculty App

WiredFaculty

  • 1/8

  • 25/8

  • 2

  • 5

Solution

C.

2

WiredFaculty

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Question
CBSEENMA12036184
Wired Faculty App

WiredFaculty

  • 0

  • -1

  • -2

  • -4

Solution

C.

-2

WiredFaculty

Question
CBSEENMA12036241
Wired Faculty App

WiredFaculty depends on

  • only y

  • only x

  • both x and y

  • neither x nor y

Solution

D.

neither x nor y

WiredFaculty
which does not depend on x and y.

Question
CBSEENMA12036092
Wired Faculty App

If space straight a with rightwards arrow on top space equals space fraction numerator 1 over denominator square root of 10 end fraction space left parenthesis 3 straight i with hat on top space plus straight k with hat on top right parenthesis space and space straight b with rightwards arrow on top space equals space 1 over 7 left parenthesis 2 straight i with hat on top space plus space 3 straight j with hat on top space minus 6 straight k with hat on top right parenthesis comma space then space the space value space of space left parenthesis 2 straight a with rightwards arrow on top minus straight b with rightwards arrow on top right parenthesis. left square bracket left parenthesis straight a with rightwards arrow on top space straight x space straight b with rightwards arrow on top right parenthesis space straight x left parenthesis straight a with rightwards arrow on top plus 2 straight b with rightwards arrow on top right parenthesis right square bracket space is

  • -5

  • -3

  • 5

  • 3

Solution

A.

-5

WiredFaculty

Question
CBSEENMA12036197
Wired Faculty App

If space left parenthesis top enclose straight a space straight x space top enclose straight b right parenthesis space straight x space top enclose straight c space equals space top enclose straight a space straight x space left parenthesis top enclose straight b space straight x space top enclose straight c right parenthesis comma space where space top enclose straight a comma space top enclose straight b space and space top enclose straight c space are any three vectors such that top enclose straight a. top enclose straight b space not equal to 0 space top enclose straight b. top enclose straight c space not equal to 0 comma space then space straight a with bar on top space and space straight c with bar on top space are

  • inclined at an angle of π/3 between them

  • inclined at an angle of π/6 between them

  • perpendicular

  • parallel

Solution

D.

parallel

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