In a rectangle ABCD, the ratio between the side lengths AB and AD is sqrt(2):1. Let M be the midpoint of side DC. Use the dot product to prove that the diagonal BD is orthogonal to the line AM.&n...

In a rectangle ABCD, the ratio between the side lengths AB and AD is sqrt(2):1. Let M be the midpoint of side DC. Use the dot product to prove that the diagonal BD is orthogonal to the line AM.&n...

Given the vectors: r = <8, 1, -6>; v = <6, 7, -3>; w = <-7, 5, 2>

Find the real number a such that the vector w = au+v is perpendicular to 2u-v Im trying to solve this but I dont know how to do this ... could anyone please help me? u = 2i +...

this is the second part of the question I'm having problems with...For the entire US, the proportion of people who moved is 0.16. Do you think there is evidence to conclude that the town has a higher...

Find the unit vector that's in the same direction as w=20i-21j

Find the components of vector u with a magnitude of 10 and a direction angle of ∅=54°

determine if {A ∈ M3x3 (R) : Tr(A) = 0 } is a subspace of M3x3 (R)

Consider the vectors u = x2+ 2x + 3 , v = 2x2 + 4x + 5 in R[x]. Decide if w = 2x2 + 4x + 5 is in the span of u and v.

by checking closure under the zero vector, closure under addition and closure under scalar multiplication; investigate if W = { (w1, w2, w3) ∈ R3 : 6w1 - 5w2 + 4w3 = 0 } is...

Suppose a body has a force of 10 pounds acting on it to the right, 25 pounds acting on it -135° from the horizontal, and 5 pounds acting on it directed 150° from the horizontal. What single force...

If vector v has an initial point at P1 and a terminal point at P2, write v as multiples of the basis vectors i = <1,0> and j = <0,1> That is, write v in the form v = ai + bj. P1...

Find a unit vector that points in the opposite direction as v. Let .v=-3(pi 2)i-4(pi 2)j A. u= (3/5)i+(4/5)j B. u= -(3/5)i-(4/5)j C. u= -(5/3)i-(5/4)j D...

v = (7,2,−10), w = (2,6,4)

Given three vectors x1 = [2 4 8]T, x2 = [1 -11]T, x3 = [1 1 4]T, test if they are linearly independent. Write x1 as a linear sum of x2 and x3

Find perpendicular distance of the plane 6 x + y + 2 z = 18 from origin O by first finding co-ordinates of the point P on the plane such that OP is perpendicular to the given plane....

Find an equation of the plane. The plane that passes through the point (2, 4, 5) and contains the line x = 5t, y = 2 + t, z = 4 − t

Find an equation of the plane. The plane through the point (7, −8, −4) and parallel to the plane 9x − y − z = 1

When I calculating resultant force in equilateral triangle why there is square root vector formula we will put?

Let C be the curve given by the equation, R(t)= sin t i + cos t j + log sec t k (0≤t<π/2) Find: a.) the element of arc length, ds, along C, in terms of...

pls ans this question. pls pls pls

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