1. Describe the components of the vector v(t)=<t2,5t> and the meaning of this vector. 2. Convert the following parametric equation into a rectangular equation: {x(t)=5cost}...
1. Describe the components of the vector v(t)=<t2,5t> and the meaning of this vector. 2. Convert the following parametric equation into a rectangular equation: {x(t)=5cost}...
She wishes to swim across a river to a point directly opposite from where she is standing.?The river is moving at a rate of 5km/h. Explain, with the use of a diagram, why this is not possible. Isn't...
You’re 6.00 m from one wall of a house. You want to toss a ball to your friend who is 6.00 m from the opposite wall. The throw and catch both occur at 1.00 m above the ground. Here...
The endpoints of the hypotenuse of a right triangle ABC are A(-10,10,9) and B(14,0,-4). The point C lies on the line that passes through the point A and is parallel to the vector 2i-2j-k. Determine...
Let us assume that every vector in S_2 is a linear combination of vectors in S_1. Question: Does that mean that S_1 and S_2 are bases for the same subspace of V? I know that the...
A DC-10 jumbo jet maintains an airspeed of 550 miles per hour in a southwesterly direction. The velocity of the jet stream is a constant 93 miles per hour from the west. Find the actual speed and...
An airplane has an airspeed of 500 kilometers per hour bearing N45°E. The wind velocity is 60 kilometers per hour in the direction N30°W. Find the resultant vector representing the path of the plane...
The rectangular coordinates of a point are given. Find polar coordinates for the point. (Enter your answer using r > 0 and 0 ≤ θ < 2π. Round your answers to two decimal places.) (1.3, -2...
Write this expression in the standard form a + bi. (2(cos(pi/10)+isin(pi/10)))^5
Consider the following vectors. v = 3i + 4j, w = 4i + 3j (a) Find the angle between v and w. please help!!!
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what are the conditions for a concurrent force system?
Express the vector v=[6,2] as a linear combination of x=[-4,-1] and y=[-5,-1] v=?x+?y
Let H be the set of all vector of the form [-4s,-3s,5s]. Find a vector v in R3 such that H=span {v} v=?
Find a basis of the subspace of R4 consisting of all vectors of the form [x1, -2x1+x2, -9x1+4x2, -5x1-7x2]
Find the coordinate vector of x=[-1,2,4] with respect to the basis B={[1,4,6],[0,1,-4],[0,0,1]} |x|B=
Express the vector v=[6,2] as a linear combination of x=[-4,-1] and y=[-5,-1]. v=?x+?y
You are looking down at a map. A vector U with |U| 1 points north and a vector V with |V|= 9 points northeast. The crossproduct UxV points: A) south? B) northwest? C) up? D) down...
Find a unit vector with positive first coordinate that is orthogonal to the plane through the points P = (-5, -5, -4), Q = (-1, -1, 0), and R = (-1, -1, 5).
Find an equation of the plane through the point (-5, -1, 1) and perpendicular to the vector (-1, 1, 5). Do this problem in the standard way