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erma4kov [3.2K]
3 years ago
13

Let vector a={1,1,1} and b={2,-1,-1} the angle between two vectors is

Mathematics
1 answer:
ella [17]3 years ago
5 0

Answer: The answer will probabily be "undfined" or "error"

Step-by-step explanation: firtst u need to find the dot product of both a and  b (a.b).

then the magnitude of both (√a ,√b)

then u substitute them into the equation

∅=cos-1(a.b/√a x √b)

u will find it to be error bcoz  it will be (0/√3 x 0)

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Which rectangle if reflected over the x-axis and then translated 8 units right will result in rectangle E?
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Answer:

Rectangle D is reflected over the x-axis and then translated 8 units right will result in rectangle E

Step-by-step explanation:

The coordinates of rectangle D are:

(-1, 1)

(-1, 4)

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(-3, 4)

The rule of reflection across x-axis is given by:

(x, y) \rightarrow (x , -y)

(-1, 1) \rightarrow (-1 , -1)

(-1, 4) \rightarrow (-1 , -4)

(-3, 1) \rightarrow (-3 , -1)

(-3, 4) \rightarrow (-3 , -4)

Next, translate this 8 unit right which is given by:

(x, y) \rightarrow (x+8 , y)

(-1, -1) \rightarrow (-1+8 , -1) =(7, -1)

(-1, -4) \rightarrow (-1+8 , -4) =(7, -4)

(-3, -1) \rightarrow (-3+8 , -1) =(5, -1)

(-3, -4) \rightarrow (-3+8 , -4) =(5, -4)

⇒(7, -1) , (5, -1) , (5, -4) and (7, -4) represents the coordinate of rectangle E.

Therefore, Rectangle D if reflected over the x-axis and then translated 8 units right will result in rectangle E

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