d an equation for the plane that passes through the origin and is perpendicular to the line (t) = (-2,-1, 2) + t(2,0,−4), t = R er your answer in general or scalar form.

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: bugi nе pom the equa that passes 2,1), 2(0, 2, 3) the d P3(−2, −1, −5). Then, find the distance from…

A:

Q: Describe the graph of the equation: r = 4ti – 8j + (1 + 2t)k. [Choose the correct answer.] The…

A: It is three dimensional, so each points must have three components (x,y,z).

Q: Determine the equation of the plane containing the point and the line. (-7, 10,-3), r(t) = (1 − 4t,…

A:

Q: 4. Convert the equation (x = 10 + 5t : 10 - 2t = to scalar form.

A: Given the problem that the parametric equation is x=10+5ty=10−2tthe aim is to write the equation in…

Q: Find the equation of the plane parallel to the line r = 2i + t(−4i + 3j + 8k) and containing the…

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Q: Find the velocity of Zoe relative to the surface of the water.

A: The velocity of Zoe Vz is 3 km/hr to west. Velocity of the current Vc is 15km/hr to north. So, the…

Q: Find the equation of the plane that passes through (2, 5,9) and is parallel to x + y + z = 4.…

A: We have to find the equation of plane that is passing through the point (2, 5, 9) and is parallel to…

Q: Find the equation of the plane that passes through the points A(2, —1, 2), B(1,1, 8) and C(2, 0,…

A:

Q: Find a Cartesian equation for r = 3t – 1, y = 4t + 2.

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Q: z= 2e'+i

A:

Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

A: Hint: A vector v→ is perpendicular to both a→=a1i^+a2j^+a3k^ and b→=b1i^+b2j^+b3k^ if v→=a→×b→…

Q: Find the dot product of ū = (3,-2) and v = (5,-7). Select one: -1 V29 29 (8,-9)

A: Consider the vectors u→=3,−2v→=5,−7