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3D Geometry - 7
On solving, we get 1 = 0 & µ1 = µ2
= + 1( - ) + µ1( + )
Since
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3D Geometry - 6
Introduction
Q.2. What are direction cosines of a line which is equally inclined to axes ?
Ans: If , , are angles, if line is equally inclined
= =
l2 + m2
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3D Geometry - 5
Equation of planes Bisecting Angle b/w Two planes:
Eq. of planes bisceting angle b/w planes, a1x + b1y + c1z + d1 = 0 and a2x + b2y + c2z + d2 = 0 is,
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3D Geometry - 4
Introduction
Dumb Question: How this lx + my + nz = P is eq. of plane ?
Ans: Since . = P = d is eq. of plane
...
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3D Geometry - 3
Introduction
Vector Form:
Since L lies on line AB
P.V. of L = P.V. of line AB
= +
dr's of ...
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3D Geometry - 2
Illustration: Find angle b/w lines whose direction cosines are & .
Ans: Let be angle
cos = l1l2 + m1m2 + n1n2...
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3D Geometry - 1
3-D GEOMETRY
Introduction
Three dimensional geometry developed accordance to Einsteins field equations. It is useful in several branches of science like it is useful in Electromagnetism. It is...
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