If `bar a,bar b` are two vectors of magnitude 2 and inclined at `60^@`, then `(bar a,bar a+bar b)=`

Let bar(a) , bar(b) and bar(c) be vectors with magnitudes 3,4 and 5 respectively and bar(a)+bar(b)+bar(c)=0 then the value of bar(a).bar(b)+bar(b).bar(c)+bar(c).bar(a) 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)

(d) answer ANY one question :1. bar a, bar b and bar c be three vectors such that bar a +bar b+ bar c =0 and |bar a|=1, |bar b|=4,|bar c |=2 . Evlautae bar a.bar b + bar b.bar c+bar c.bar a .

bar(a), bar(b), bar(c) are three vectors of which every pair is non-collinear. If the vectors bar(a)+2bar(b) and bar(b)+3bar(c) are collinear with bar(c) and bar(a) respectively, then bar(a)+2bar(b)+6bar(c)=

IF bar a , bar b , bar c are mutually perpendicular vectors having magnitudes 1,2,3 respectively then [ bar a + bar b + bar c " " bar b - bar a " " bar c ]=?

If bar(a),bar(b),bar(c) are non coplanar vectors and lambda is a real number then [lambda(bar(a)+bar(b))lambda^(2)bar(b)lambdabar(c)]=[bar(a)bar(b)+bar(c)bar(b)] for

If (bar(a), bar(b))=60^(@)" then "(-bar(a), -bar(b))=

If bar(b),bar(c) are two unit vectors along the positive x,y axes,and bar(a) is any vector,then (bar(a)*bar(b))bar(b)+(bar(a)*bar(c))bar(c)+(bar(a)*(bar(b)xxbar(c)))/(|bar(b)xxbar(c)|)(bar(b)xxbar(c))=

If bar(a) , bar(b) and bar(a)-sqrt2bar(b) are unit vectors, then what is the angle between bar(a), bar(b) ?