<?xml:namespace prefix = div style=\"margin /> Vector A = 2.0i + 5.0j - 1.0k = (

Question

<?xml:namespace prefix = divline-height:115%;font-family:calibri, 'sans-serif';font-size:11pt;">|AxB| = 30and the x-componenet of AxB is negative.style='line-height: 115%; font-family: "calibri","sans-serif"; font-size: 11pt; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: calibri; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: calibri; mso-bidi-theme-font: minor-latin; mso-ansi-language: en-us; mso-fareast-language: en-us; mso-bidi-language: ar-sa;'>

Explanation / Answer

A x B = ( 5*3 - alpha*-1, -1*-1 -3*2, 2*alpha-5*-1)

so mag = sqrt( (15+alpha)^2 + (1-6)^2 + (2*alpha+5)^2) = 30

to make x componentneg alpha<0

so alpha = -17.247

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