Advertisements
Advertisements
Question
Let `A(hati + 2hatj + 3hatk), B(hatj + hatk)` and `C(3hati + 2hatj + 2hatk)` are position vectors of vertices of ΔABC and the circumradius of ΔABC is R then `(4R^2)/11` is ______.
Options
0.00
1.00
2.00
3.00
MCQ
Fill in the Blanks
Advertisements
Solution
Let `A(hati + 2hatj + 3hatk), B(hatj + hatk)` and `C(3hati + 2hatj + 2hatk)` are position vectors of vertices of ΔABC and the circumradius of ΔABC is R then `(4R^2)/11` is 1.00.
Explanation:
Given ΔABC is right angled triangle
2R = `sqrt(9 + 1 + 1)`
2R = `sqrt(11)`
⇒ 4R2 = 11
⇒ `(4R^2)/11` = 1
shaalaa.com
Vector and Cartesian Equations of a Line - Position Vector of a Point in a Space
Is there an error in this question or solution?
