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Class 10 Class 12
What are the characteristics of cross product?

Characteristics of cross product are:

(i) Cross product of two vectors is anti commutative.

That is, 

                         space straight A with rightwards arrow on top cross times straight B with rightwards arrow on top space equals space minus straight B with rightwards arrow on top cross times straight A with rightwards arrow on top

(ii) Cross product is distributive,

That is, 
 
                 space straight A with rightwards arrow on top cross times left parenthesis straight B with rightwards arrow on top plus stack straight C right parenthesis with rightwards arrow on top space equals space straight A with rightwards arrow on top cross times straight B with rightwards arrow on top plus straight A with rightwards arrow on top cross times straight C with rightwards arrow on top

(iii)Cross product of two parallel vectors is zero.

That is, 

                     space straight A with rightwards arrow on top cross times straight B with rightwards arrow on top space equals space 0     if <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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(iv) Cross product of two vectors is equal to the area of parallelogram formed by two vectors.

(v) Area of triangle formed by two vectors and their resultant is equal to half the magnitude of cross product.
697 Views

What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

A quantity must possess the direction and must follow the vector axioms. Any quantity that follows the vector axioms are classified as vectors. 


814 Views

What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.
835 Views

Give three examples of scalar quantities.

Mass, temperature and energy
769 Views

What is a scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
1212 Views

Give three examples of vector quantities.

Force, impulse and momentum.
865 Views