Write the vectorthe vector equation of t...

Write the vectorthe vector equation of the line passing through `(1, 2, 3)` and perpendicular to the plane `vecr.(hati + 2hatj – 5hatk) + 9 = 0.`

`r=(hati+2hatj+3hatk)+lamda(hati+2hatj-5hatk)`

`r=(hati+2hatj-5hatk)+lamda(hati+2hatj+3hatk)`

`r=(hati+2hatj+3hatk)+lamda(-8hatk)`

None of the above

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MOCK TEST 4
MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos
PAIR OR STRAIGHT LINES
MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|13 Videos

Similar Questions

Explore conceptually related problems

Write the vectorthe vector equation of the line passing through (1,2,3) and perpendicular to the plane vec r*(hat i+2hat j-5hat k)+9=0

(i) Find the vector equation of the line passing through (1,2,3) and parallel to the planes : vec(r) . (hati - hatj + 2 hatk ) = 5 and vec(r) . (3 hati + hatj + hatk) = 6 . (ii) Find the vector equation of the straight line passing through (1,2,3) and perpendicular to the plane : vec(r) . (hati + 2 hatj - 5 hatk ) + 9 = 0 .

Find the vector equation of a line passing through the point A(1,-1,2) and perpendicular to the plane vecr.(2hati-hatj+3hatk)=5 .

Find the equation of a line passing through the point (1,2,3) and perpendicular to the plane vecr.(2hati-3hatj+4hatk) = 1 .

The equation of the plane passing through the point (2, -1, 3) and perpendicular to the vector 3hati + 2hatj - hatk is

Find the vector equation of a lie passing through the origin perpendicular to the plane vecr.(hati+2hatj+3hatk)=3 .

Equation of plane passing through (1,2,3) and perpendicular to the vector 3hati-4hatj+hatk is

Find the vector equation of the line through the origin, which is perpendicular to the plane vec(r) . (hati - 2 hatj + hatk) = 3 .

Find the vector equationof the line passing through the point (3,1,2) and perpendicular to the plane vecr.(2hati-hatj+hatk)=4 . Find also the point of intersection of this line and the plane.

Find the vector equation o the line passing through (1,2,3) and parallel to the planes vecr.(hati+hatj+2hatk)=5 and vecr.(3hati+hatj+hatk)=6

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 5-MCQS

The area Delta of a triangle ABC is given by Delta =a^2 -(b-c)^2 then...
Text Solution
|
Which of the following statements is a tautology?
Text Solution
|
The value of (cot54^(@))/(tan36^(@))+(tan20^(@))/(cot70^(@)) is
Text Solution
|
With 1,omega,omega^(2) as cube roots of unity, inverse of which of the...
Text Solution
|
The value of a for which a x^2+sin^(-1)(x^2-2x+2)+cos^(-1)(x^2-2x+2)=1...
Text Solution
|
Which of the following is logically equivalent to ~(~pto q)?
Text Solution
|
The matrices P[(u(1),v(1),w(1)),(u(2),v(2),w(2)),(u(3),v(3)w(3))] an...
Text Solution
|
If A1 and A2 are two A.M.s between a and b and G1 and G2 are two G.M.s...
Text Solution
|
The equation of the pair of lines passing through the origin and havin...
Text Solution
|
Q. the sum of the infinite series 1+2/3*1/2+2/3*5/6*1/2^2+2/3*5/6*8/9*...
Text Solution
|
Write the vectorthe vector equation of the line passing through (1, 2,...
Text Solution
|
if 2^x+2^y=2^(x+y) then the value of (dy)/(dx) at x=y=1
Text Solution
|
If f(x)=sin^(-1)(sinx)+cos^(-1)(sinx) and phi(x)=f(f(f(x))), then phi'...
Text Solution
|
If 5f(x)+3f(1/x)=x+2 and y=x f(x), then find dy/dx at x=1.
Text Solution
|
A variable straight line is drawn through the point of intersection of...
Text Solution
|
In what ratio, the line joining +(-1,1)a n d(5,7) is divided by the li...
Text Solution
|
If 0 lt a lt pi then int(dx)/(1-2acos2x+a^(2)) is equal to
Text Solution
|
int(cosec^2x-2005)/cos^[2005]x.dx
Text Solution
|
The degree of the differential equation satisfying the relation sqrt(1...
Text Solution
|
Let X denote the number of hours you study during a randomly select...
Text Solution
|