If `|bar(a) |=3` and `|bar(b) | =4` The value of `mu` for which the vectors `bar(a) +mubar(b)` and `bar(a) -mubar(b)` are perpendicular

Let bar(a) and bar(b) be unit vector.If the vectors bar(c)=bar(a)+2bar(b) and bar(d)=5bar(a)-4bar(b) are perpendicular to the each other then angle between bar(a) and bar(b) is

If |bar(a)| = 3,|bar(b)| = 4 , then the value of lambda for which bar(a) + lambda bar(b) is perpendicular to bar(a) - lambda bar(b) is…..

Let bar(a),bar(b) be two non zero vectors such that vectors 3bar(a)-5bar(b) and 2bar(a)+bar(b) are mutually perpendicular. If bar(a)+4bar(b) and bar(b)-bar(a) are also mutually perpendicular then the cosine angle between bar(a) and bar(b) is

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

Show that vectors |bar(b)|bar(a)+|bar(a)|bar(b) and |b|bar(a)-|a|bar(b) are orthogonal

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

If bar(a) and bar(b) are unit vectors then the vectors (bar(a)+bar(b))xx(bar(a)xxbar(b)) is parallel to the vector

If |vec a|=2,|vec b|=sqrt(3) and (bar(a),bar(b))=30^(@) then the angle between the vectors bar(b) and bar(a)-bar(b) 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

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