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Find the distance of the point veca from...

Find the distance of the point `veca` from the plane `vecr*hatn=d` measured parallel to the line `vecr=vecb+vec(tc)`.

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To find the distance of the point \( \vec{A} \) from the plane defined by the equation \( \vec{r} \cdot \hat{n} = d \), measured parallel to the line defined by \( \vec{r} = \vec{b} + t \vec{c} \), we can follow these steps: ### Step 1: Define the line in vector form The line can be expressed in terms of a parameter \( \lambda \): \[ \vec{r} = \vec{A} + \lambda \vec{c} \] Here, \( \vec{A} \) is the point from which we want to measure the distance, and \( \vec{c} \) is the direction vector of the line. ...
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CENGAGE ENGLISH-THREE-DIMENSIONAL GEOMETRY -CONCEPT APPLICATION EXERCISE 3.3
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