Popular 3d And Vectors Questions

Q1 graph of x2+y2=0 in 3D is ?? Q2 Locus of xy+yz=0 in 3D is ??? ...

1) Given vectors A, B and C forms a triangle such that A = B + C. find a,b,c and d such that the area of the triangle is 5 6 where, A=ai + bj + ck B=di + 3j + 4k C=3i + j - 2k well the sum is very easy but i am not getting an ...

WELCOME all tiitians this thread is open to all good Qs on Vectors & 3D & discussions on them PLZ dont post qs out of IIT JEE's level ...

If axb=c bxc=a then find relation b/w a,b,c I have got some ans..but i dont have answer key..so tell me ur answer..... ...

mod (vector a) =a & mod(vector b ) =b ..................then prove that {(vector a)/a^2 - (vector b)/b^2}^2 = {( vector a - vector b)/ab}^2 ...

Guys having a problem to find the equation of the line of shortest distance between 2 skew lines. take for an example between ........ x+4/4 = y-2/-2 = z-3/0 and x-5/5 = y-3/3 = z/0 please show the working.......(ans- x/0 = y ...

Q1. A and B are points with coordinates (2,1,3) and (4,-2,5) respectively. 2x+y-z=3 is the equation of a plane (A) Line AB is parallel to the plane (B) AB meets the plane at (0,4,1) (c) The plane divides AB externally in the ...

If AB = a, AD = b, AC = 2b+ 3c & the area of quadrialteral ABCD is β times the area of ||gm whose adjacent sides are a, b. find the value of β. Here, a represents vector a, AC represents vector AC. ...

Q1. The image of the plane x-y+z+6=0 with respect to the plane mirror 4x-2y-6z+14=0 is ax+by+cz+6=0, then the value of cos-1a + cos-1b+ cos-1c is ...

Q.1. In a Triangle ABC, the bisector of angle A meets the opposite side at D. Using vectors Prove that BD : DC = c : b. Q.2. The vector (-1,1,1) bisects the angle between the vectors C(x,y,z) and (3,4,0). determine a unit vec ...

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the number of straight lines that are equally inclined to the three dimensional co-ordinate axis ,is ...

Question 1 If \vec{a} , \vec{b} , \vec{c} be such that | \vec{a} + \vec{b} + \vec{c} |=1, \vec{c} = \lambda \vec{a} x \vec{b} and |a|= 1/ 2 , |b|= 1/ 3 , |c|= 1/ 6 then the angle between \vec{a} and \vec{b} is: A) Î /6 B) Î / ...

1. if A and B are two events such that P(A∩B)=P(A) then P(A/B)=1 or P(B/A)=1?? 2. tan x dy/dx-(sec2x)y= sin x here I.F. is cot x or tan x? 3. dy/dx+y=tan x .. here I.F. is elogx?? ...

1. ∫1/sin2x+cos2xdx = a) -2cot2x+c b) tanx-cotx+c c) 9+(sec2x)/2 d) 3-tan2x/2 e) (3-sec2x)/2 f) (tan2x/2)-5 2. If vectors a+b=vector c then vector a x b = a) c x a b) a x c c) b x c d) c x b 3. If the direction ratio of a l ...

Let first line be x = y = z, second line be x=y/2=z/3 and third line is passing through (1, 1, 1). Area of triangle formed by these three lines is √6 unit, and point of intersection of third line with second line is (a, b, ...

If direction cosines of a variable line in 2 adjacent points be l,m,n and l+δl,m+δm,n+δn .Show that small angle δθ between two positions is given by δθ2=δl2+δm2+δn2 ...

The foot of perpendicular from the point (0, 0, 0) to the line of the intersection of the planes x + y + z = 4 & 2x + y + 3z = 1 is a point A.Find the equation of the line OA. ...

Points whose position vectors are a+b,a-b,a+kb are collinear for: (a) Only one integral value of k (b) All integral values of k (C) None of these ...

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I already knw da answers to the followin questions. I am interested 2 knw da solution.Pls solve dem guys. I) |(a x b).c| = |a||b||c| ,if (1)a.b=b.c=0 (2)b.c=c.a=0 (3)c.a=a.b=0 (4)a.b=b.c=c.a=0 II) If b and c are two non-colli ...

1. An arc AC of a circle subtends a right angle at the centre O. The point B divides the arc in the ratio 1:2 . If and OB =b then find OC in terms of a and b. ...

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Q) A Square ABCD of diagonal 2a is folded along the diagonal AC so that the planes DAC and BAC are at right angles. The shortest distance between DC and AB is a) √2a b) 2/3 a c) 2/√5 a d) √3/2 a ...

................................................ whcih formulae and results should we generally remeber in 3D +vectors chapter in both cartesian and vector form ?? ...

If the minimum distance of the point (1,1,1) from the plane x+y+z=1 measured perpendicular to the lines (x-a)/1 =( y-b)/2 =( z-c)/3 be ' l ' then the value of 21 l is ...... double integer answer ...

\begin{Bmatrix} x+y=2\lambda & \\ x+\lambd^2y=\mu & \end{Bmatrix} system has infinite solns and the position vectors of two points A and B are given as (1,λ,2μ),(1,μ,λ2) respectively.AB is line segment divided by XY plane ...

let a,b,c be three vectors such that they hav same mag. if |a-b|2+|b-c|2+|c-a|2=27 then a. a,b,c are coplanar b. a,b,c represent orthogonal triad of vectors c. a,b,c represents sides of a triangle (atleast in magnitude and di ...

got it got it sorry thanks everyone! ...

1.if \vec{a} \times \vec{b} = \vec{c} \times \vec{d} and \vec{a} \times \vec{c} = \vec{b} \times \vec{d} then prove that (\vec{a} -\vec{d})\left| \right| (\vec{b}-\vec{c}) . 2.A line makes \alpha ,\beta ,\gamma and \delta wit ...