[" 12.If "|vec a|=2,quad |vec b|=3" and "|vec c|=4,quad bar(a),bar(b)," ceach is perpendicular to the sum of the other two vectors,"],[" then find the magnitude of "bar(a)+bar(b)+bar(c)" ."]

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 ) .

If bar(a),bar(b),bar (c ) are pair wise mutually perpendicular vectors of equal magnitude , then the angle wisv bar(a)+bar(b)+bar (c ) is

If bar(a),bar(b),bar(c ) are mutually perpendicular unit vectors, then find [bar(a)bar(b)bar(c )]^(2) .

If bar(a),bar(b) are vectors perpendicular to each other and |bar(a)|=2,|bar(b)|=3, bar(c)timesbar(a)=b, then the least value of 2|bar(c)-bar(a)|" is

If bar(a)=(1,1,1),bar(b)=(4,-2,3) and bar( c )=(1,-2,1) then the vector of magnitude 6 in the direction of 2bar(a)-bar(b)+3bar( c ) is ……………..

For unit vectors bar(a) and bar(b) , if bar(a)+2bar(b) and 5bar(a)-4bar(b) are perpendicular to each other then the angle between bar(a) and bar(b) is ………….

If vec a is perpendicular to vec b and p is non zero scalar such that pbar(r)+(bar(r).bar(b))bar(a)=bar(c)

bar(a),bar(b),bar(c) are three vectors such that |bar(a)|=1,|bar(b)|=2,|bar(c)|=3 and bar(b),bar(c) are perpendicular to each other.If the projection of bar(b) along bar(a) is same as that of bar(c) along bar(a) then |bar(a)-bar(b)+bar(c)| is equal to

Vector vec x satisfying the relation bar(A)*bar(x)=c and bar(A)xxbar(x)=B

If bar(a) and bar(b) are two vectors perpendicular each other, prove that (bar(a) + bar(b))^(2) = (bar(a) - bar(b))^(2)