(1) Let 7 =< 2,1,-2 > and 7 =< 1,2,3 >. Find two vectors and such...
Let the vectors a = <1,2,3>, b= <1,1, 1 > and c = <1,2, 1 > a) Determine whether the three are coplanar None of these 4 0.71 0.74 no b) Find the volume of the parallelepiped form c) Find the unit vector orthogonal to both ved d) Find the angle between the vectors a and 22.26 bunded to 2 decimal points) 12:21 e) Find the component of the vector a along 39.51 -1 ge
Find two unit vectors orthogonal to both 1 = (4, 2, 4) and 7 (0,3, 8). Enter the two vectors in the form <a,b,c>, separated by commas. All the components should be in exact form (i.e. no decimal entries allowed). unit vectors = Submit Question
Question 7 Given vectors u = <2, 1> and v= <3,4> to compute (a) u + v (b) - (c) u-30
2. Let Px(x) = 1, X = 1,2,3, 4, 5, zero elsewhere, be the pmf of X. Find P(X = 1 or 2), P(3 < X < ), and P(1 < X < 2).
* if <<1 Let h(x) = { 2 – 22 if i< x < 2 2 - 3 if < > 2 Use the limit definition of derivative to find h'(1) if it exists.
4. Let S = {1,2,3). Define a relation R on SxS by (a, b)R(c,d) iff a <c and b <d, where is the usual less or equal to on the integers. a. Prove that R is a partial order. Is R a linear order? b. Draw the poset diagram of R.
1. Let a=(ay, ay) and b= (6,62) be vectors in Rº. a. Verify that <a, b >= 20,62 +5 a,b2 satisfies the inner product axioms. b. a=(-1,3), b= (2,5) Find da,b).
Let r(t) = <cos(5t), sin(5t), v7t>. (a) (7 points) Find |r'(t)|| (b) (7 points) Find and simplify T(t), the unit tangent vector. Upload Choose a File
7. Let X be a random variable with density f(x) = 2/32 for 1<x<2, f(x) = 0 otherwise. Find the density of x2
Provided N(0, 1) and without using the LSND program, find P( - 2 <3 <0) Provided N(0, 1) and without using the LSND program, find P(Z < 2). Provided N(0, 1) and without using the LSND program, find P(Z <OOR Z > 2). Message instructor about this question Provided N(0, 1) and without using the LSND program, find P(-1<2<3). 0.84 Message instructor about this question