SOLUTION: Give short answers of the following questions: (a) Which vector is perpendicular to both vectors A and B? (b) What is unit tangent to x = (t)^2 -1, y = (t)^2 +1 and z = 2t +

Question 1172354: Give short answers of the following questions:
(a) Which vector is perpendicular to both vectors A and B?
(b) What is unit tangent to x = (t)^2 -1, y = (t)^2 +1 and z = 2t + 2 at point (1, 1, 1)?
(c) If M is square matrix of order 2x2 wher entries of matrix M are 6, 10, -2 and -3 then find the trace of M^5. [Here ^5 means power 5]
(d) If f(x) = ln(x)/x then which critical point is point of inflecion?
(e) What is the curl of U = (xyz)i + (xy^2)j + (yz)k?
(f) Find radius of curvature of function f(x) = x + 1/x at point (1, 2)?
Answer by ikleyn(52858) (Show Source): You can put this solution on YOUR website!
.

I will help you with part (c).

Go to web-site https://www.calculator.net/matrix-calculator.html

There is very convenient matrix calculator there, free of charge.

Input your matrix there and assign the calculator to raise it to the degree 5.

You will get the answer in seconds.

Having the matrix raised to degree 5, calculate the trace.

In the future, do not pack more than one problem per post.

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Hello, every question, packed in your post, requires explanations like a separate chapter in a textbook.

When I see so many questions, packed randomly in one post, I start thinking

whether the time just came to open a Psychic clinic at this forum ?

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