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The value of the expression |vecaxxvecb|...

The value of the expression `|vecaxxvecb|^(2)+(veca.vecb)^(2)` is….. .

A

0

B

2

C

3

D

1

Text Solution

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The correct Answer is:
D
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Let veca,vecb,vecc be three noncolanar vectors and vecp,vecq,vecr are vectors defined by the relations vecp= (vecbxxvecc)/([veca vecb vecc]), vecq= (veccxxveca)/([veca vecb vecc]), vecr= (vecaxxvecb)/([veca vecb vecc]) then the value of the expression (veca+vecb).vecp+(vecb+vecc).vecq+(vecc+veca).vecr . is equal to (A) 0 (B) 1 (C) 2 (D) 3

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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. If tan theta=a/b then b cos 2theta+asin 2theta=

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  2. If A=130^(@)and x=sinA+cosA, then

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  3. The value of the expression |vecaxxvecb|^(2)+(veca.vecb)^(2) is….. .

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  4. If A=sin^(2)theta+cos^(4)theta, then find all real values of theta.

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  5. about to only mathematics

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  6. Which of the following statement is incorrect

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  7. The value of sin(pi/14)sin((3pi)/14)sin((5pi)/14) is

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  8. If sintheta+cosectheta=2, then "sin"^(2)theta+"cosec"^(2)theta is equa...

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  9. If tantheta=(1)/(2) and tanphi=(1)/(3), then the value of theta+phi i...

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  10. If sinx+sin^2x=1, then find the value of cos^(12)x +3cos^(10)x + 3 cos...

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  11. Write the maximum value of 12 sintheta-9sin^2\ \ thetadot

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  12. If f(x)="cos"^(2)x+"sec"^(2)x, then (i) f(x)lt1 (ii) f(x)=1 (iii...

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  13. The maximum value of 3 cos x+4sinx+5, is

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  14. Let A and B denote the statements A:cos alpha+ cos beta+cos gamma=0 ...

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  15. The number of ordered pairs (alpha, beta) where alpha, beta in (-pi, p...

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  16. The maximum value of the function f(x)=sin(x+pi/6)+cos(x+pi/6) in the ...

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  17. If A +B+C= pi and /C is obtuse then tan A. tan B is

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  18. If 0 < theta < 2pi, then the intervals of values of ? for which 2si...

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  19. If tantheta=x-1/(4x), then sectheta-tantheta is equal to

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  20. If sectheta=x+1/(4x), then s e ctheta+t a ntheta= (a) x ,1/x (b) 2x ...

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