The definition I’ve been given of convex inequalities is the following: A set A ⊂ Rn is convex if: • For any vectors a, b ∈ A • For any λ ∈ [0,1] • The point λa + (1 - λ)b ∈ A I...

The definition I’ve been given of convex inequalities is the following: A set A ⊂ Rn is convex if: • For any vectors a, b ∈ A • For any λ ∈ [0,1] • The point λa + (1 - λ)b ∈ A I...

If the vector (−6,−9) is multiplied by 5 and then translated so its tail is at the point A = (2,−9), find the coordinates of its head. I understand that to multiply the vector...

If the triangle ABC has vertex C located at point C=(2,−6,−1) and vertex A located at point A=(−1,−2,5), and if side AB has the same length as side CA, and is in the direction of the vector v⇀...

Assume you are given the surface S with equation x^2+y^2/9+z^2/4=1 (a) Find the equation of the tangent plane to S at the point (√3/6, √6, 1). (b) Find a point on the...

Give an equation for and geometrically describe the set of points on S so that the tangent plane to S at those points contains the point (3,0,0). The correct answer is 6x-18=0...

determine whether the vector (-4, -9, 2, -1) is in the subspace v=span{( 1, 3, -2, 1), ( -3, -9, 6, -3), (2, 5, -2, 1), (3, 8, -4, 2)}

A magnetic field is given by B(x,y,z) = C(xi + yj − 2zk) where C is a constant. Find the flux of B across the surface of a square coil of side length a when it is placed a distance 2a from the...

I know x=3t^2-3, and z=(t/4)^4+4. But I don't know how to find y. The correct answer of y is e^6t/6 - 7/6. How to get it? I stop in the step (1/6) e^6t+C. How to get the C? How...

Let a = (-8, 9, 9) and b = (2, 1, 8) be vectors. Find the orthogonal projections of b onto a I've found the scalar and vector projection but i couldn't find Orthogonal Projection Also what...

What is the angle in radians between the vectors? a= (-2, -2, 3) and b = (-4, 0, 7) angle?

find a.b if a=(-1, 5, 5) and b= (-6, 8, 7)

Find two unit vectors orthogonal to a = <4,-1, 2> and b = <3, 3, 1> First vector = <?, ?, ?> Second vector = <?, ?, ?>

Find the velocity, acceleration, and speed of a particle with position function r(t) = <-7tsin(t), -7tcos(t), 4t^2> v(t) = <?, ?, ?> a(t) = <?, ?, ?>...

The answer needs to be simplified and written in the form of ai+bj.

A weight of 100 pounds is suspended by two ropes A and B. Rope A makes an angle of 30 degrees with the ceiling and rope B makes an angle of 45 degrees with the ceiling. What are the magnitudes of...

MX=pMC and OX=qOB, if OABC is a parallelogram in which vectors OA= a and OC=b and M is the midpoint of AB and MC meets OB at X

If not, when would linear dependency imply coplanarity?

you are on a boat 400 m from the closest point Perpendicular on the beach. you want to visit your friend who is located another 1km along the beach. if you can row pedal boat at a constant speed of...

Considering that a and b are scalar to each other

Find a transformation matrix that will turn the triangle with vertices (0,0), (1,0), and (0,1) in the uv-plane into the triangle with vertices (1,0),(0,1), and (2,2) in the xy-plane. Find...

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