The vector `(bar a xx bar b)xx bar c` is perpendicular to

The vectors bar(a) and bar(b) are perpendicular then bar(a)xx{bar(a)xx{bar(a)xx(bar(a)xx bar(b))}} = ………….

The unit vector bar(a) and bar(b) are perpendicualr to each other. The unit vector bar( c ) makes an angle theta with bar(a) and bar(b) . If bar( c )=alpha bar(a)+beta bar(b)+gamma(bar(a)xx bar(b)) then …………

If |bar(a)| = 2, |bar(b)| = 3, |bar(c )| = 4 and each of bar(a), bar(b) , bar(c ) is perpendicular to the sum of the other two vectors, then find the magnitude of bar(a) + bar(b) + bar(c ) .

Let the vectors bar(a),bar(b),bar(c) be such that |bar(a)|=2,|bar(b)|=4 and |bar(c)|=4 . If the projection of bar(b) on bar(a) is equal to the projection of bar(c) on bar(a) and bar(b) is perpendicular to bar(c) ,then the value of |bar(a)+bar(b)-bar(c)| is

Let the vectors bar(a),bar(b),bar(c) be such that |bar(a)|=2,|bar(b)|=4 and |bar(c)|=4 . If the projection of bar(b) on bar(a) on is equal to the projection of bar(c) on bar(a) and bar(b) is perpendicular to bar(c) then the value of |bar(a)+bar(b)-bar(c)| is

bar a, bar b, bar c are three vectros, then prove that: (bar a xx bar b) xx bar c = (bar a. bar c) bar b-(bar b. bar c) bar a.

If bar(a)= 2bar(i) - 3bar(j) + 5bar(k), bar(b)= - bar(i) + 4bar(j)+ 2bar(k) then find (bar(a) + bar(b)) xx (bar(a) - bar(b)) and unit vector perpendicular to both bar(a) + bar(b) " & " bar(a)- bar(b) .

IF bar(a),bar(b),bar(c ) are vectors from the origin to three points A,B,C show that bara times barb +barb times barc+barc times bara is perpendicular to the plane ABC.