Translate the shape by the vector { -1 } 5
1 answer:
Answer:
Step-by-step explanation:
Coordinates of the given rectangle are,
A → (3, 3)
B → (6, 3)
C → (6, 1)
D → (3, 1)
Translation of the given rectangle by the vector means, shifting of rectangle by 1 unit to the left and 5 units up.
So the rule which defines the translation of the vertices by the given vector is,
(x, y) → (x - 1, y + 5)
By this rule, after translation vertices of image rectangle will be,
A(3, 3) → A'(2, 8)
B(6, 3) → B'(5, 8)
C(6, 1) → C'(5, 6)
D(3, 1) → D'(2, 6)
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Given two vectors
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they are orthogonal if their dot product is null:
For example, in the first case, we have
So, they aren't parallel. Similarly, you have
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In the second case, we have
So, they aren't parallel, and
So, they are orthogonal.
Finally, we have
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