[V] Find the three intercepts of the plane 3x +y + 2z = 12 and use them to sketch the plane. How would you work out the area of the triangle in the plane that is formed by these three intercepts? (Don't do the calculation: Just explain.)

Q: TUESDAY: Plot the following coordinates on the plane. E = (3,2) F = (7,9) G = (10,3) H = (5,7) %3D…

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Q: nd the distance from the point to the plane.   (3,3,8)​, 7y+3

A: Given, the equation of plane is                                       7y+3z=0and  point (3, 3, 8)

Q: Find the point, P, at which the line intersects the plane. x= - 3+ 10t, y = 9- 9t, z= 9- 7t; - 10x +…

A: The objective is to find the point of P, at which the line intersects the plane.

Q: Find the intercepts of the plane 2x+6y3z- 12 = 0

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Q: Write the equation (in standard form) of the parabolic arch formed in the foundation of the bridge…

A: here we have to find  the equation (in standard form) of the parabolic arch formed in the foundation…

Q: b0 = 12, b1 = 0, b2 = -5a. determine whether the plane slopes upward, slopes downward, or is…

A: a).Direction of the slope of a plane:If the sign of the partial slope is positive, the plane slopes…

Q: trmd the equation of the bisectors of the angles between the planes -22 3 32 22-y +²2² +²³ J 2-3y…

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Q: b0 = -6, b1 = 5, b2 = 0a. determine whether the plane slopes upward, slopes downward, or is…

A: (a)Direction of the slope of a plane:If the sign of a partial slope is positive, the plane slopes…

Q: b0 = –2, b1 = 4, b2 = –7 a. determine whether the plane slopes upward, slopes downward, or is…

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Q: Find the intersection of the following geometric objects: the plane 3x + 2y - z = -9 and the line…

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Q: b0 = 0, b1 = 0, b2 = 3a. determine whether the plane slopes upward, slopes downward, or is…

A: (a)Direction of the slope of a plane:If the sign of a partial slope is positive, the plane slopes…

Q: b0 = 12, b1 = 0, b22 = −5 a. determine whether the plane slopes upward, slopes downward, or is…

A: The given values are b0 is 12, b1 is 0 and b2 is –5.

Q: Sketch the plane representing −2x² = −8 Instructions:show the plane

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Q: Provide a hand-drawn sketch of S using the traces obtained in (a). Label all important points found…

A: As per the question we are given a 3d surface S defined as : 4x2 - (y-3)2 + 4z2 = 4 And we have to…

Q: b0 = –3, b1 = 4, b2 = 6a. determine whether the plane slopes upward, slopes downward, or is…

A: It is given that the y-intercept and partial slopes of the plane are –3, 4, and 6 respectively.

Q: b0 = 6, b1 = -2, b2 = -1a. determine whether the plane slopes upward, slopes downward, or is…

A: a)Direction of the slope of a plane:If the sign of a partial slope is positive, the plane slopes…

Q: The equation of the plane which is parallel to y -axis and cuts off intercepts of length 2 and 3…

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Q: b0 = 5, b1 = 2, b2 = 7a. determine whether the plane slopes upward, slopes downward, or is…

A: (a)Direction of the slope of a plane:If the sign of a partial slope is positive, the plane slopes…

Q: b0 = 5, b1 = 2, b2 = 7 a. determine whether the plane slopes upward, slopes downward, or is…

A: a. The y-intercept and partial slopes of the plane are respectively b0=5, b1=2, b2=7. Direction of…

Q: b0 = 0, b1 = 0, b2 = 3 a. determine whether the plane slopes upward, slopes downward, or is…

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Q: b0 = 0, b1 = −0.05, b2 = 1.5 a. determine whether the plane slopes upward, slopes downward, or is…

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Q: Explain why the equation 7 = (-1,0, -1) + s(2,3,-4) + t(4,6,-8) where s, t ER does not represent the…

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Q: b0 = –3, b1 = 4, b2 = 6 a. determine whether the plane slopes upward, slopes downward, or is…

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Q: b0 = 0, b1 = -0.05, b2 = 1.5a. determine whether the plane slopes upward, slopes downward, or is…

A: a).Direction of the slope of a plane:If the sign of the partial slope is positive, the plane slopes…