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Find the intercepts cut off by the plane rijkr→⋅(6i^+45j^-3k^) = 12 on the coordinate axes - Mathematics

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प्रश्न

Find the intercepts cut off by the plane `vec"r"*(6hat"i" + 45hat"j" - 3hat"k")` = 12 on the coordinate axes

बेरीज
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उत्तर

`vec"r"*(6hat"i" + 45hat"j" - 3hat"k")` = 12

`(hat"i" + yhat"j" + zhat"k")*(6hat"i" + 4hat"j" - 3hat"k")` = 2

`6x + 4y - 3z` = 12

`x/2 + y/3 + z/(-4)` = 1  ......(÷ 12)

x-intercept = 2

y-intercept = 3

z-intercept = – 4

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Different Forms of Equation of a Plane
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पाठ 6: Applications of Vector Algebra - Exercise 6.6 [पृष्ठ २५९]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 6 Applications of Vector Algebra
Exercise 6.6 | Q 5 | पृष्ठ २५९

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