document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172354>Question 1172354</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Give short answers of the following questions:\r<BR>\n" );
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document.write( "(a) Which vector is perpendicular to both vectors A and B?\r<BR>\n" );
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document.write( "(b) What is unit tangent to x = (t)^2 -1, y = (t)^2 +1 and z = 2t + 2 at point (1, 1, 1)?\r<BR>\n" );
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document.write( "(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]\r<BR>\n" );
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document.write( "(d) If f(x) = ln(x)/x then which critical point is point of inflecion?\r<BR>\n" );
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document.write( "(e) What is the curl of U = (xyz)i + (xy^2)j + (yz)k?\r<BR>\n" );
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document.write( "(f) Find radius of curvature of function f(x) = x + 1/x at point (1, 2)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797369 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52864)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=797369\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I will help you with part (c).\r<BR>\n" );
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document.write( "Go to web-site  https://www.calculator.net/matrix-calculator.html\r<BR>\n" );
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document.write( "There is very convenient matrix calculator there, &nbsp;free of charge.\r<BR>\n" );
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document.write( "Input your matrix there and assign the calculator to raise it to the degree &nbsp;5.\r<BR>\n" );
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document.write( "You will get the answer in seconds.\r<BR>\n" );
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document.write( "Having the matrix raised to degree &nbsp;5, &nbsp;calculate the trace.\r<BR>\n" );
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document.write( "<H3>In the future, &nbsp;do not pack more than one problem per post.</H3>\r<BR>\n" );
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document.write( "Hello, &nbsp;&nbsp;every question, &nbsp;packed in your post, &nbsp;requires explanations like a separate chapter in a textbook.\r<BR>\n" );
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document.write( "When I see so many questions, &nbsp;packed randomly in one post, &nbsp;I start thinking\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;whether the time just came to open a Psychic clinic at this forum ?\r<BR>\n" );
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document.write( " </SPAN>\n" );
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