ncert

Find the distance between the point P(6, 5, 9) and the plane determined
by the points A (3, – 1, 2), B (5, 2, 4) and C(– 1, – 1, 6).

8 Answers

11
Mani Pal Singh ·

hey
FUNDA1
first find the equation of the plane 4m the 3 points given and use the formula to get the perp dis

OR

FUNDA2
find the vector AB X AC(unit). The perpendicular distance will be the component of AP on this unit vector

1
big looser ......... ·

dude mene aise hi kia tha , lekin mera answer 6/√34 aa ra hai. lekin answer 3√34/17 dia hai

11
Mani Pal Singh ·

bhai maine kaha tha unit vector AB X AC did u take the unit vector???

1
big looser ......... ·

dude mene first method se kia ............. first waale se b to aana chaiye

11
Mani Pal Singh ·

yes try again
if u fail again then we will try by 1

11
Anirudh Narayanan ·

Plane is:

3x-4y+3z=19

hence, in vector form....... r.(3i - 4j + 3k) = 19

distance d= \left|\frac{18-20+27-19}{\sqrt{3^{2}+(-4)^{2}+3^{2}}} \right|

which turns out to be \frac{3\sqrt{2}}{\sqrt{17}}

Hope i am right....

1
big looser ......... ·

sorry friends mera answer aur book ka answer same hai.
mera dimaag khraab ho gaya tha

11
Anirudh Narayanan ·

thum kya bio group liya tha?

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