If `( vec a - vec b). ( vec a + vec b) = 27 and | vec a| = 2 | vec b |` find `| vec a | and | vec b |`

If (vec(a)-vec(b)).(vec(a)+vec(b))=27 and |vec(a)|=2|vec(b)| the find |vec(a)| and |vec(b)| .

If vec a + vec b = vec c and | vec a | = | vec b | = | vec c | find the angle between vec a and vec b

If (vec a-vec b) * (vec a + vec b) = 0, then (a) vec a and vec b are perpendicular (b) vec a and vec b are parallel (c) | vec a | = | vec b | (d) vec a = 2vec b

Three vectors vec a, vec b and vec c satisfy the condition vec a + vec b + vec b + vec c = vec 0 .Evaluate the quantity mu = vec a * vec b + vec b * vec c + vec c * vec a , if | vec a | = 1 | vec b | = 4 and | vec c | = 2

Find | vec a|a n d| vec b|,if( vec a - vec b)dot ( vec a+ vec b) =27 and | vec a|=2| vec b|dot

Let vec a, vec b, vec b, vec b are three vectors such that vec a * vec a = vec b * vec b = vec c * vec c = 3 and | vec a-vec b | ^ (2) + | vec b-vec c | ^ (2) + | vec c-vec a | ^ (2) = 27 then

find | vec a |, | vec b | if (vec a + vec b) * (vec a-vec b) = 8 and | vec a | = 8 | vec b |

Find |veca| and |vec b| , if (vec a + vec b).(vec a - vec b ) = 7 and |vec a| = 7|vec b|

Find |vec a| and |vec b| if (vec a + vec b).(vec a - vec b) = 3 and 2|vec b| = |vec a| .

Let vec a, vec b, vec c are three vectors such that vec a * vec a = vec b * vec b = vec c * vec c and | vec a-vec b | ^ (2) + | vec b-vec c | ^ (2) + | vec c-vec a | ^ (2) = 27 then