©answer any one question: (i) find the v...

©answer any one question: (i) find the vector equation of the plane at a distance `6/(sqrt29)` unit from the origin and perpendicular to the vector `2 hat i -3 hat j+ 4 hat k` . Also convert this equation in cartesian form.

Topper's Solved these Questions

HIGHER SECONDARY EXAMINATION 2020.
UNITED BOOK HOUSE|Exercise EXERCISE|40 Videos
HIGHER SECONDARY QUESTION 2019
UNITED BOOK HOUSE|Exercise EXERCISE|40 Videos

Similar Questions

Explore conceptually related problems

Find the equation of plane which is at a distance 4/(sqrt(14)) from the origin and is normal to vector 2 hat i+ hat j-3 hat kdot

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

Find the vector equation of a line passing through 3 hat i-5 hat j+7 hat k and perpendicular to the plane 3x-4y+5z=8.

Find the unit vector in the direction of the vector vec a= hat i+ hat j+ 2 hat k .

Find the vector equation of the plane passing through the points having position vectors hat i+ hat j-2 hat k ,2 i - hat j+ hat ka n d hat i+2 hat j+ hat kdot

Find a vector in the direction of the vector 5 hat i - hat j + 2 hat k which has magnitude 8 units.

Find the vector and cartesian equations of the line through the point (5,2,-4) and which is parallel to the vector 3hat(i)+2hat(j)-8hat(k) .

Find a unit vector perpendicular to both the vectors 2 hat (i) - 3 hat (j) + 6 hat (k) and 3 hat (j) - 4 hat (k) . Also find the sine of the angle between the given vectors .

Find the vector equation of the following planes in Cartesian form: vec r= hat i- hat j+lambda( hat i+ hat j+ hat k)+mu( hat i-2 hat j+3 hat k)dot

Find the vector equation of a line which passes through the point with position vector hat(i)-2hat(j)+4hat(k) and is in the direction of hat(i)+2hat(j)-hat(k) . Also, reduce it to cartesian from.

UNITED BOOK HOUSE-HIGHER SECONDARY QUESTION 2018-EXERCISE

A relation R is defined on the set of natural numbers N as follows: R=...
Text Solution
|
answer any one question : (ii) prove that , tan(pi/4 +1/2 (cos ^(-1) (...
Text Solution
|
(b) answer the foll. Questions: (i) express the matrix A=[[3,2,3],[4,5...
Text Solution
|
if |[x-1,1,1],[1,x+1,-1],[-1,1,x+1]| =0 , find the value of x.
Text Solution
|
answer the foll. Questions: (i) if y=(sin^(-1)x)/(sqrt(1-x^2)) , then ...
Text Solution
|
or,find the derivatives of tan^(-1) ((sqrt(1+x^2)-1)/x) with respect t...
Text Solution
|
answer the foll. Questions: (ii)evaluate :int (x^4+1)/(x^6+1) dx
Text Solution
|
or, evaluate :int dx/(cos x+sqrt 3 sin x)
Text Solution
|
answer the foll. Question: (iii) solve : x dy/dx = y+x tan (y/x) , giv...
Text Solution
|
or , solve:(1-x^2) dy/dx - xy=1 .
Text Solution
|
(d) answer any one question : (i) if three vectors vec a, vec b and ve...
Text Solution
|
answer any one question : (ii) let vec a= hat i+4 hat j+ 2hat k , vec...
Text Solution
|
Evaluate lim(n->oo)[1^2/(n^3+1^3) + 2^2/(n^3+2^3) +3^2/(n^3+3^3)+…+1...
Text Solution
|
answer any one question : (ii) evaluate : int0^pi (x sin x)/(1+cos ^2x...
Text Solution
|
answer any one question : (ii) if X and Y are two independent variable...
Text Solution
|
(b)answer any two questions : (i) a circular ink blot grows at the rat...
Text Solution
|
answer any two questions :(iii) if the straight line lx+my=n be a norm...
Text Solution
|
answer any two questions :(iv) solve :(2x-10y^3) dy/dx+y=0 .
Text Solution
|
answer any one question : (ii) find the equation of the line which is...
Text Solution
|