Find a unit vector perpendicular to the ...

Find a unit vector perpendicular to the plane ABC, where A, B and C are the points (3, -1, 2), (1, -1, -3) and (4, -3, 1), respectively.

Text Solution

Verified by Experts

The correct Answer is:

`(1)/(sqrt(165))(-10hat(i) - 7hat(j) + 4hat(k))`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

VECTOR ALGEBRA
ARIHANT PUBLICATION|Exercise Questions for Practice (Part I Basic Concepts) Very Short Answer Type Questions|15 Videos
VECTOR ALGEBRA
ARIHANT PUBLICATION|Exercise Questions for Practice (Part I Basic Concepts) Short Answer Type Questions|10 Videos
THREE-DIMENSIONAL GEOMETRY
ARIHANT PUBLICATION|Exercise Chapter Practice|34 Videos

ARIHANT PUBLICATION-VECTOR ALGEBRA -Chapter Practice (Long Answer Type Questions)

Find a unit vector perpendicular to the plane ABC, where A, B and C ar...
Text Solution
|
The dot product of a vector with vectors hat(i) + hat(j) - 3hat(k), ha...
Text Solution
|
Find the unit vector perpendicular to the plane ABC, where the positio...
Text Solution
|
If vec(b) xx vec(c) = vec(c) xx vec(a) ne vec(0), then prove that vec...
Text Solution
|
If vec(a) = hat(i) + 4hat(j) + 2hat(k), vec(b) = 3hat(i) - 2hat(j) + 7...
Text Solution
|
If vec(a), vec(b) and vec(c) are three vectors such that |vec(a)| = 5,...
Text Solution
|
If vec(a) + vec(b) + vec(c) = vec(0), |vec(a)| = sqrt(37), |vec(b)| = ...
Text Solution
|
Find the value of x such that the four points A(3, 2, 1), B(4, x, 5), ...
Text Solution
|
If vec(a) = hat(i) + hat(j) and vec(b) = 2hat(i) - hat(k) are two vect...
Text Solution
|