Question

39. Look the pattern A B C .... Y Z, then 'PLAY 'becomes​

Answer 1

Answer:

Look the pattern A B C .... Y Z, then 'PLAY 'becomes

Step-by-step explanation:

Answer

A and B are the foot of perpendiculars drawn from Q(a,b,c) to the planes yz and xz

∴A=(0,b,c) and B=(a,0,c)

Also, O=(0,0,0) is the origin

To determine the equation of plane, let's determine the normal vector

OA×OB=

∣

∣

∣

∣

∣

∣

∣

∣

i

0

a

j

b

0

k

c

c

∣

∣

∣

∣

∣

∣

∣

∣

=i(bc−0)−j(0−ac)+k(0−ab)

=bc

i

+ac

j

−ab

k

Equation of the plane is bc x+ac y−ab z+d=0

Plug in any point to find the value of d

Let's substitute O=(0,0,0) to find d

⟹d=0

∴ The equation becomes bc x+ac y−ab z=0

⟹

a

x

+

b

y

−

c

z

=0 is the required equation of plane.