document.write( "Question 327541: A vector is described. Express the vector in terms of i and j. If exact values are not possible, round components to the nearest tenth. \r
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Algebra.Com's Answer #234610 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
A vector is described. Express the vector in terms of i and j. If exact values are not possible, round components to the nearest tenth. \r
\n" ); document.write( "\n" ); document.write( "A plane with an airspeed of 450 mph is flying in the direction N35W.\r
\n" ); document.write( "\n" ); document.write( "I have gotten an answer but am not sure if I have done it right. I need some help on this to make sure. Are you to use bearings?
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document.write( "North is the positive y-axis\r\n" );
document.write( "South is the negative y-axis\r\n" );
document.write( "East is the positive x-axis\r\n" );
document.write( "West is the negative x-axis\r\n" );
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document.write( "This is the vector.  Its direction is determined by starting from \r\n" );
document.write( "north, the positive y-axis, and swinging a vector toward the west,\r\n" );
document.write( "which is counter-clockwise, by 35°. \r\n" );
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document.write( "To express this vector in terms of horizontal and vertical\r\n" );
document.write( "component vectors, we draw horizontal and vertical lines from the\r\n" );
document.write( "tip of that vector to the x and y axes:\r\n" );
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document.write( "Then these two green vectors are the x-component\r\n" );
document.write( "and y-component of the red vector:\r\n" );
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document.write( "The actual angle is this vector measured from the \r\n" );
document.write( "postive x axis, indicated by this blue arc, which is\r\n" );
document.write( "90°+35° or 125°\r\n" );
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document.write( "The magnitude of the green horizontal vector is \r\n" );
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document.write( "Therefore it is the vector i\r\n" );
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document.write( "The magnitude of the green vertical vector is \r\n" );
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document.write( "Therefore it is the vector j\r\n" );
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document.write( "So to write the red vector in terms of the horizontal unit vector\r\n" );
document.write( " i and the vertival unit vector j, we have\r\n" );
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document.write( "i + j\r\n" );
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document.write( "There is no way to get the exact values, so we punch those into a \r\n" );
document.write( "calculator and get:\r\n" );
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document.write( "i + j\r\n" );
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document.write( "Or rounded to tenths:\r\n" );
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document.write( "i + j\r\n" );
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document.write( "Edwin

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