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MissTica
3 years ago
5

Find direction numbers for the line of intersection of the planes x + y + z = 7 and x + z = 0. (enter your answers as a comma-se

parated list.)
Mathematics
1 answer:
yanalaym [24]3 years ago
6 0

The line of intersection has a direction vector that is the cross product of the normal vectors of the given planes.

... [1, 1, 1] × [1, 0, 1] = [1, 0, -1] . . . . . . using a suitable calculator


The direction numbers of the line of intersection are (1, 0, -1).

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Please Help Me!
alex41 [277]

Answer:

✔️2 sets of corresponding angles

<D and <S

<R and <L

✔️2 sets of corresponding sides

DR and SL

RM and LT

Step-by-step explanation:

When two polygons are congruent, it implies that they have the same shape and size. Therefore, their corresponding angles and sides are congruent to each other.

When naming congruent polygons, the arrangement of the vertices are kept in a definite order of arrangement.

Therefore, Given that polygon DRMF is congruent to SLTO, the following angles and sides correspond to each other:

<D corresponds to <S

<R corresponds to <L

<M corresponds to <T

<F corresponds to <O

For the sides, we have:

DR corresponds to SL

RM corresponds to LT

MF corresponds to TO

FD corresponds to OS.

We can select any two out of these sets of corresponding angles and sides as our answer. Thus:

✔️2 sets of corresponding angles

<D and <S

<R and <L

✔️2 sets of corresponding sides

DR and SL

RM and LT

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Use the dot product to determine whether the vectors are parallel, orthogonal, or neither. v = (sqrt)2j, w = 4i
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Hello,

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