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A person walks 18m East and then 32m in a direction of 65 degrees N of E. What is the resultant displacement?
A person walks 450 feet at an angle of 53 degrees N of W. How far is the displacement west and how far north?
What is the resultant force on the pole, if horse A exerts a force of 350 N at an angle of 48 degrees N of East, horse B exerts a force of 560 N.
What must be the velocity and heading of the boat if it is to move directly from the west bank to the east bank in 5 seconds?
Given that the acceleration vector is a(t) = (-9cos(-3t)) i + (-9sin(-3t)) j + (-2t) k , the initial velocity is v(0) = i + k .
A region is surrounded by two infinitely long concentric cylinders of radii, a1 and a2 (a2 > a1).
Find two vectors of norm 1 that are orthogonal to the tree vectors u = (2, 1, -4), v = (-1, -1, 2, 2), and w = (3, 2, 5, 4).
How to prove or counter with example the following statements-If two subspaces are orthogonal, then they are independent.
If A = a*r_hat + b*theta_hat + c*phi_hat in spherical coordinates, with constant coefficients. Is A a constant vector (uniform vector field)?
Use the integration capabilities of you graphing utility to approximate the arc length of the space curve given by: vector r(t) = t i + t^3 j + 3t K.
Find a subset of the vectors that forms a basis for the span of the vectors; then express each vector which is not in basis as a linear combination.
In each part use the information in the table to find the dimension of the row space, column space and null space of A and the null space of AT.
Let V be the space of all functions from R to R. It was stated in the discussion session that this is a vector space over R
Using the given vectors how do I find the specified dot product u=3i-8j;v=4i+9j find u.v
Two opposite vertices of a square are P(3, 2) and Q(-5, -10). Find the length of: a diagonal of the sqaure
Prove that the origin is the only "corner" of P. [You may show it is the only vertex, extreme point, or basic feasible solution.]
Find an orthonormal set : {f_o, f_1} in V such that span{e_o,e_1} = span{f_o,f_1}, where e_o(x) = 1 and e_i(x) = x.
Given the parabola y = -(x - 6)2 - 1, determine each of the following: Identify whether the parabola y = -(x - 6)2 - 1 opens up or down.
A force of 703 pounds is needed to push a stalled car up a hill inclined at an angle of 16-degrees to the horizontal. Find the weight of the car.
A kite string exerts a 12-lb pull (F=12) on a kite and makes a 45° angle with the horizontal. Find the horizontal and vertical components of F.
A baseball is hit from a height of 3 feet with an initial speed of 120 feet per second at an angle of 30 degrees above the horizon.
A weight of 850 pounds is suspended by two cables. One cable makes an angle of 66 degrees with a vertical line, the other makes an angle.
Explain in your own words when the elimination method for solving a system of equations is preferable to the substitution method.
Find the arc length of the curve given by x = cos 3t, y = sin 3t, z = 4t, from t = 0 to t = pi/2.