Recent content by Whiz

Hi, I'm having a little trouble with this question: Among entering students at a certain college, the men averaged 650 on the Math SAT, and their SD was 125. The women averaged 600, but had the same SD of 125. There were 500 men in he class, and 500 women. Q) For the men and the women...

Homework Statement Let f(x) = sqrt(4-x2) + 2cos-1(x/2) Then f '(x) can be written in simplified form -[(x+c)/(mx+n)]p NOTE: I'm not sure if that negative is supposed to be there since my book is smudged. What are the values of c, m, n, and p? Homework Equations Derivative of...

Homework Statement Let A and B be n x n matrices, where B is invertible. Suppose that 2 is an eigenvalue of A, and −2 is an eigenvalue of B. Find ALL true statements below. A. −4 is an eigenvalue of AB B. 16 is an eigenvalue of A^3+A+6I C. 4 is an eigenvalue of A+A(Transpose) D. 2 is an...

Homework Statement Let A be a matrix corresponding to reflection in 2 dimensions across the line generated by a vector v . Check all true statements: A. lambda =1 is an eigenvalue for A B. Any vector w perpendicular to v is an eigenvector for A corresponding to the eigenvalue lambda =1. C...

Homework Statement Find an equation for the plane containing the lines: x-3= 4t , y-4 = t, z-1 = 0 x+1 = 12t, y-7 = 6t, z-5 = 3t The Attempt at a Solution I found the equations of both lines. First line: (3, 4, 1) + t(4, 1, 0) (-1, 7, 5) + t(12, 6, 3) Now I take the cross...

Homework Statement Given that u , v and w are vectors, which of the following are well defined operations? Find ALL correct answers A. (3u X v) X (5u X w) B. (3u X v) X (5u . w) C. (3u X v) . (5u . w) D. (3u X v) . (5u X w) E. none of the above X = Cross Product . = Dot...

There aren't any other questions or equations about this. All I know is if their dot product is 0, then its orthogonal, and my book doesn't even mention parallel.

Okay thanks. I'll have to tell my instructor about it.

Homework Statement For u=(26, 6, 21) and v=(−27, −9, −18) , find the vectors u1 and u2 such that: (i) u1 is parallel to v (ii) u2 is orthogonal to v (iii) u = u1 + u2 Homework Equations None The Attempt at a Solution I'm quite lost on this question and not sure...

Can you please show me how? I was only only taught how to do it when the points were given.

Homework Statement For u = (−1, 2, 1) and v = (3, 3, 6) find the ratio ||v|| / ||u|| Homework Equations || u || = (u^2 + u2^2 + ...un^2)^.5 The Attempt at a Solution I found the || u || to be 6^(1/2) and || v || to be 54^(1/2) Therefore the ratio should be 54^(1/2) divided by...

Hmm so would this work? use 30 degrees and 400 km/h to find the speed going straight south cos (30) * (south_speed/400) south_speed = cos(30) * 400 = 346 Then use speed going straight south and incorporate the 100km/h wind blowing west, use Pythagorean theorem and find the resultant...

Homework Statement A plane flies at 400 km/h [south 30 degrees east]. The wind is blowing from the east at 100 km/h. Find the resulting speed of the plane. Homework Equations Not sure The Attempt at a Solution I've drawn a diagram similar to this: |\ | \ | \ |30\ | \ | \...

Hmm but I typed the question exactly the way it is. And I'm not sure what you mean by substituting (x0,y0,z0) into the equation of the plane.

Homework Statement Given a + b + c = 7, find a, b and c such that the point (a,b,c) lies on the line passing through the points (3,-4,0) and (2,-2,3) a = b = c = Homework Equations None The Attempt at a Solution My instructor didn't go through this portion and I was...