`4x times5y times7z`

Let x,y,z be the vector, such that |x|=|y|=|z| =sqrt(2) and x,y,z make angles of 60^(@) with each other. If x times (y times z) = a , y xx (z xx x)=b and (x xx y) = c The value of y is:

Evaluate : x times x times y times y times y times y times z times z times z

Evaluate : x times x times x times y times y times y times y times z times z

Show that : x times ( y + z ) = x times y + x times z

If a = 2 , x = 1, y = 1 , z = 1 then find the value of a^x times a^y times a^z

Verify x times(y+z)=x times y+x times z by taking x=(7)/(9),y=(-2)/(5) and z=(-2)/(3)

(5^(4)times x^(8)times y^(5))/(4^(5)times x^(5)y^(2))

Evaluate : ( -5/ 7 ) times [ 2/5 + ( -4/7 ) ] = ( -5/7 ) times 2/5 + --- times ( -4/7 )

(Simplify) "(2times x^(-2)times y^(5))/(-4x^(2)y^(2))

Show that : ( x + y ) times z = ( x times z ) + ( y times z )