If `barp and bars` are not perpendicular to each other and `barrxxbarp = barqxxbarp` & `barr.bars= 0`, then `barr` is

If bar(p) and bar(s) are not perpendicular to each other and bar(r)xxbar(p)=bar(q)xxbar(p)o*bar(r).bar(s)=0, then bar(r) is

If bar(a) is perpendicular to bar(b) then bar(a)*bar(b) is

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 barp=(3,-1,5), barq = (1,2,-3). A vector barr is such that it is perpendicular to Z-axis and satisfies the conditions barr.barp = 9 barr.barq= -4, then barr =

Perpendicular distance from origin to the plane barr.barm = bara.barm is

If bar(a) and bar(b) are two unit vectors perpendicular to each other and bar(c)=lambda_1 bar(a)+lambda_2bar(b)+lambda_(3)(bar(a)timesbar(b)) ,then which of the following is (are) true? (A) lambda_(1)=bar(a).bar(c) (B) lambda_(2)=|bar(b)timesbar(a)| (C) lambda_(3)=|(bar(a)timesbar(b))timesbar(c)| (D) lambda_(1)+lambda_(2)+lambda_(3)=(bar(a)+bar(b)+bar(a)timesbar(b)).bar(c)

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

If bar(a),bar(b) and bar(c) are mutually perpendicular vectors then [bar(a)bar(b)bar(c)]=

IF the non-zero vectors bara and barb are perpendiculars to each other than the solution of the equation barr times bara=barb is given by