2 years ago

Multiply and simplify 17/21•3/5

1 answer:

6 0

Step-by-step explanation:

$\frac{17}{21} \times \frac{3}{5} \\ \\ = \frac{17}{7 \times 3} \times \frac{3}{5} \\ \\ = \frac{17}{7 } \times \frac{1}{5} \\ \\ = \frac{17 \times 1}{7 \times 5} \\ \\ = \frac{17}{35} \\$

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Given:

A plane is normal to the vector = -2i+5j+k

It contains the point (-10,7,5).

To find:

The component equation of the plane.

Solution:

The equation of plane is

$a(x-x_0)+b(y-y_0)+c(z-z_0)=0$

Where, $(x_0,y_0,z_0)$ is the point on the plane and $\left< a,b,c\right>$ is normal vector.

Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is

$-2(x-(-10))+5(y-7)+1(z-5)=0$

$-2(x+10)+5y-35+z-5=0$

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$-2x+5y+z-60=0$

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