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

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) 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)=bar(i)+bar(j)+bar(k) , bar(b)=bar(i)+2bar(j)+3bar(k) then a unit vector perpendicular to both vectors (bar(a)+bar(b)) and (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 bar(a) is perpendicular to bar(b) then bar(a)*bar(b) is

|bar(a)|=2,|bar(b)|=3 and bar(a) and bar(b) are perpendicular to each other. The area of the triangle with vertices bar(0),bar(a)+bar(b) and bar(a)-bar(b) is ……………

If for unit vectors bar(a) and bar(b),bar(a)+2bar(b) and 5bar(a)-4bar(b) are perpendicular to each other, then (bar(a)^^bar(b))=

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) .

Let a and be two unit vectors and theta be the angle between them then |bar(a)+bar(b)|^(2)-|bar(a)-bar(b)|^(2)=

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