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