please give me answer of this question As soon as possible.
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the answer is 904
AWM KAR98K VECTOR
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Step-by-step explanation:
STEP 1.The position vector of point (0,1,−2) is a→=j^−2k^
The normal vector N→ perpendicular to the plane is N→=i^+j^+k^
We know the vector equation of the plane is given by (r→−a→).N→=0
STEP 2.to the plane is N→=i^+j^−k^
We know the vector equation of the plane is given by (r→−a→).N→=0
Step 2:
On substituting for a→ and N→ we get,
[r→ − (j^−2k^)].(i^+j^+k^)=0
But we know r→=xi^+yj^+zk^
Therefore [(xi^+yj^+zk^)−(j^−2k^)].(i^+j^+k^)=0
STEP 3. On simplifying we get,
[x^+(y-1)j^+(z+2)k^)].(i^+j^+k^)=0
We know that i^.i^=j^.j^=k^.k^=1
⇒x + (y−1) + (z+2)=0
x+y+z+1=0
x+y+z= -1
Therefore x+y+z=-1 is the required Cartesian equation of the plane.
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