Let u = (1, 2) and v = (-4, 2). %3D (a) Find u - 3v. (b) Find |u + v\. (c) Find u · v. (d) Are u and v perpendicular? O Yes No

Q: (a) Find the direction angles for the vector ỉ =AB ỉ +CD j +EF k. "Example if A=5 and B=7 so AB=57."…

A:

Q: Find u•v

A: As   u = -12,2         v = 1,6   So,  u→=-12 i+2 j        v→= i+6 j

Q: x y ● = Find the dot product of 1 18 0 — -2 and y = 1 2 4 ●

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Q: 2yº 4x° versal? (2x + 12)° (y + 6)°

A:

Q: Let u=. (a) Graph u in the coordinate plane, with initial point (0, 0).   (b) Find the length and…

A: (a) A vector u is represented in the plane with initial point Px1,y1 and terminal point Qx2,y2.…

Q: Determine Duf(-1,3, 2) for f (x, y, z) = e2ay° + 4x²yz in the direction (3, -2, 5). V =

A:

Q: Ex: If f(3) = 0, show that əz дz x- x² + y = Z. (H.W.) əx Əy

A: We have to prove the given statement.

Q: Let u= The length of u is 4.  Find the direction.

A: Given a vector. We need to find the direction of the given vector.

Q: An object moves in a straight line so that its velocity after t seconds is v(t) = 2/t – t. Determine…

A: Given, Velocity of the particle v(t) = 2t -t Particle is moving in the straight line We have to find…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.