javascript Question Bank - Sarthaks eConnect

If vector `veca,vecb` and `vecc` are non coplanar, then the vector `vecaxx vecb,vecbxx vecc` and `veccxxveca` are:

Which of the following expression is meaningless:

If `vecx,veca,vecb` and `vecc` are non-zero vectors such that `veca*vecx=0,vecb*vecx=0` and `vecc*vecx=0` then , `[veca vecb vecc]` is:

If the points A, B, C and D with position vectors `hati+hatj+hatk,2hati+3hatj+hatk,hati+2hatj+5hatk` and `lambdahati+3hatj+4hatk` are coplanar then `lambda` is equal to:

Let `veca=a_1hati+a_2hatj+a_3hatk, vecb=b_1hati+b_2hatj+b_3hatk`, and `vecc=c_1hati+c_2hatj+c_3hatk` be three non-zero vectors such that c is a unit vector perpendicular to both `veca`and `vecb` if angle between `veca`and`vecb` is `pi/3`, then the value of `|[a_1,b_1,c_1],[a_2,b_2,c_2],[a_3,b_3,c_3]|^2` is:

Angle between the vectors `sqrt3(vecaxxvecb)` and `vecb-(veca*vecb)veca` is:

If `vecp=(vecbxxvecc)/([veca vecb vecc]),vecq=(veccxxveca)/([veca vecb vecc])` and `vecr=(vecaxxvecb)/([veca vecb vecc])`, where `[veca vecb vecc]!=0` then the value of `vecp*(veca+vecb+vecc)` is equal to:

If the vector `veca,vecb=hati+2hatj+3hatk` and `vecc=2hati-hatj` and form a right handed system then `hata` is equal to:

For any three non zero non coplanar vectors `veca,vecb` and `vecc`,`(veca-2vecb+vecc)*((vecb-2vecc+veca)xx(vecc-2veca+vecb))` is equal to

Let `vecp` and `vecq` be the position vectors of P and Q respectively, with respect to O and `|vecq|=p,|vecq|=q`. The points R and S divide line segment PQ internally and externally and externally in the ratio 2:3 respectively. If `bar(QR)`and `bar(OS)` are perpendicular, then:

If `veca,vecb` and `vecc` are unit coplanar vectors, then the scalar triple product `[2veca-vecb,2vecb-vecc,2vecc-veca]` is equal to:

Equation of plane meeting co-ordinate axes at A, B and C if (a, b, c) is centroid of `triangle ABC` is:

Equation of plane perpendicular to the line `x/1=y/2=z/3`and passing through the point (2,3,4) is:

If `l_1, m_1, n_1` and `l_2,m_2, n_2` are direction cosines of the two lines inclined to each other at an angle `theta`, then the direction cosines of internal bisector of the angle between these lines are:

If M denotes the mid-point of the line joining `A(4hati+5hatj-10hatk)` and `B(-hati+2hatj+hatk)` then equation of the plane through M and perpendicular to AB is:

Let A(4,7,8), B(2,3,4) and C(2,5,7) be the position vectors of the vertices of a `triangle ABC` the length of the internal bisectors of the angle of A is:

Consider the following statements:

(a) Line joining (1,2,3), (4,3,2) is parallel to the line joining (5, 1, -11), (8,2,-8)

(b) Three concurrent lines with D.C.’s `(l_i, m_i,n_i)`, i=1,2,3 are coplanar if `|[l_1,m_1,n_1],[l_2,m_2,n_2],[l_3,m_3,n_3]|`=0

(c) The plane `x-2y+z=21` and the line `(x-1)/1=(y-2)/2=(z-1)/3` are parallel, which of these is/are correct?

If a line `(x-x_1)/a_1=(y-y_1)/b_1=(z-z_1)/c_1` intersect the plane `a_2x+b_2y+c_2z+d_2=0` at one point only, then:

Equitation of plane containing the line `(x-x_1)/a_1=(y-y_1)/b_1=(z-z_1)/c_1` and parallel to the line `(x-x_2)/a_2=(y-y_2)/b_2=(z-z_2)/c_2` is

The lines `(x-3)/1=(y-1)/2=(z-3)/-lambda` and `(x-1)/lambda=(y-2)/3=(z-1)/4` are coplanar, if value of `lambda` is equal to:

Recent questions and answers in javascript