What type of operation on the vectors is not commutative?

Cross product and subtraction of two vectors is not commutative.
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A vectors <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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#6 {main}</pre> points north and vector space straight B with rightwards arrow on top points east. What is the direction of straight B with rightwards arrow on top cross times straight A with rightwards arrow on top?


The direction of  is vertically upwards.

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What is the angle between straight A with rightwards arrow on top cross times straight B with rightwards arrow on top and straight A with rightwards arrow on top plus straight B with rightwards arrow on top?


Angle between the vector is 

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#6 {main}</pre>  straight A with rightwards arrow on top. space straight B with rightwards arrow on top space equals space minus AB. What is the angle between straight A with rightwards arrow on top space and space straight B with rightwards arrow on top?


The vectors are unlike parallel vectors. 

Therefore, angle between them is 

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What is the angle between straight A with rightwards arrow on top cross times straight B with rightwards arrow on top and straight B with rightwards arrow on top cross times straight A with rightwards arrow on top ?


The given two vectors are anti-parallel to each other. 

Therefore, angle between them is 

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