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The three vectors hat i+hat j,hat j+hat ...

The three vectors `hat i+hat j,hat j+hat k, hat k+hat i` taken two at a time form three planes, The three unit vectors drawn perpendicular to these planes form a parallelopiped of volume: ________________

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Find the unit vector perpendicular to the plane vec rdot(2 hat i+ hat j+2 hat k)=5.

The vectors 2 hat(i) + 2 hat(j) + 4 hat(k) and 6 hat(i) represent the two sides of a triangle . Find the following . a vector perpendicular to the plane of the triangle .

If the vectors 2 hat i-3 hat j , hat i+ hat j- hat ka n d3 hat i- hat k form three concurrent edges of a parallelepiped, then find the volume of the parallelepiped.

If the vectors 2 hat i-3 hat j , hat i+ hat j- hat ka n d3 hat i- hat k form three concurrent edges of a parallelepiped, then find the volume of the parallelepiped.

Given, two vectors are hat(i)-hat(j) and hat(i)+2hat(j) , the unit vector coplanar with the two vectors and perpendicular to first is

Write the projection of vector hat i+ hat j+ hat k along the vector hat j .

Find the unit vector perpendicular the plane rcdot(2hat(i)+hat(j)+2hat(k))=5 .

If the vectors (hat(i) + hat(j) + hat(k)) and 3hat(i) form two sides of a triangle, then area of the triangle is :

Find the projection of vector hat i+3 hat j+7 hat k on the vector 7 hat i- hat j+8 hat kdot

Find the resultant of vectors vec a= hat i- hat j+2 hat k and vec b= hat i+2 hat j-4 hat kdot Find the unit vector in the direction of the resultant vector.

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If g(x) = {{:((1+a^(x).x.log a - a^(x))/(a^(x).x^(2))",","for",x lt 0)...

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  2. A triangle has two of its sides along the lines y=m1x&y=m2x where m1, ...

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  3. The three vectors hat i+hat j,hat j+hat k, hat k+hat i taken two at a ...

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  4. The number of integral values of m for which the x-coordinate of the p...

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  5. If A^2+A+I=0 , then A is non-singular A!=0 (b) A is singular A^(-...

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  6. Tangent and normal to the curve y=2sin x+sin2x are drawn at p(x=pi/3) ...

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  7. Prove that [(x^2+y^2+z^2)/(x+y+z)]^(x+y+z)> x^x y^y z^z >[(x+y+z)/3]^(...

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  8. The curve y=x^3+x^2-x has two horizontal tangents. The distance betwee...

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  9. f(x)=sqrt(x^(12)-x^(9)+x^(4)-x+1)

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  10. The point of intersection of tangent to the curve y=x^4 at (1,1) with ...

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  11. Equation of straight line a x+b y+c=0 , where 3a+4b+c=0 , which is at ...

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  12. Tangents are drawn from the point P(1,-1) to the circle x^2+y^2-4x-6y-...

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  13. Let A =[[1,2,2],[2,1,2],[2,2,1]], then

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  14. The derivative of (log)(10)x w.r.t. x^2 is equal to 1/(2x^2)loge 10 (...

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  15. If A=[1 2 0-1 1 2 2-1 1],t h e ndet(A d j(A d jA))= 13 (b) 13^2 (c) ...

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  16. Which of the following limits tends to unity? (a) ("lim")(xvec0)sin(ta...

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  17. The algebraic sum of perpendicular distances from A(x(1),y(1)), B(x(2)...

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  18. If sum(k=1)^(k=n)tan^(- 1)((2k)/(2+k^2+k^4))=tan^(- 1)(6/7), then the ...

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  19. The solution set of the inequation 3^(72)(1/3)^x(1/3)^(sqrt(x))>1 ...

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  20. Which of the following is/are correct?

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