If the plane `x/2+y/3+z/6=1` cuts the axes of coordinates at points, `A ,B ,a n dC` , then find the area of the triangle `A B Cdot` a. `18s qdot` unit

Question

If the plane `x/2+y/3+z/6=1` cuts the axes of coordinates at points, `A ,B ,a n dC` , then find the area of the triangle `A B Cdot` a. `18s qdot` unit

If the plane `x/2+y/3+z/6=1` cuts the axes of coordinates at points, `A ,B ,a n dC` , then find the area of the triangle `A B Cdot` a. `18s qdot` unit b. `36s qdot` unit c. `3sqrt(14)s qdot` unit d. `2sqrt(14)s qdot` unit
A. 18 sq unit
B. 36 sq unit
C. `3sqrt14" sq unit"`
D. `2sqrt14" sq unit"`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - c
Plane meets axes at `A(2, 0, 0), B(0, 3, 0) and C(0, 0, 6)`.
Then area of `DeltaABC` is
`" "(1)/(2) |vec(AB)xxvec(AC)|`
`" "(1)/(2)|(-2hati+3hatj)xx(-2hati+6hatj)|`
`" "=3sqrt(14)` sq units

4 views Answered 2023-02-05 15:29