Calculus 3(urgent) Find proj vu u = 2i + j - k, u = i + j - 5k u = i - 2j, u = i

Question

Calculus 3(urgent)

Find proj vu u = 2i + j - k, u = i + j - 5k u = i - 2j, u = i + j +k Find the equation for the plane through points P, Q, R. P(, -1, 2), Q(2, 1, 3), R(-1, 2, -1) P(1, 0, 0), Q(0, 1, 0), R(0, 0, 1) Two Planes intersect The planes 3x + 6z = 1 and 2x + 3y - z = 3 intersect in a line. Show that the planes are orthogonal. Find equations for the line of intersection. Motion in Space Find T, N, and curvature k at the given value of t. r(t) = (3cosh 2t)I + (3sinh 2t)j + 6tk, t = In 2 Line tangent to curve Find parametric equations for the line that is tangent to the curve at t = 0. Find the domain and range of each function f(x, y,z) = x2 + y2 - z Find the partial derivatives of the function with respect to each variable g(r, theta) = r cos theta + r sin theta Find the gradient of the function f at the given point Find the directions in which the above equations increases most rapidly at the given point. Find the directions in which the above equations has zero change at the given point.

Explanation / Answer

Q3) 1)Projection of u on v = u.v/ |v| = (2 + 1 + 5)/(6)^(1/2) = 8/(6)^(1/2)

2)Projection of u on v = u.v/ |v| = (1-2)/(5)^(1/2) = 1/(5)^(1/2)

Q4)

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.