Home
Class 12
MATHS
If vec a , vec b and vec c are perpend...

If ` vec a , vec b and vec c ` are perpendicular to ` vec b+ vec c, vec c +vec a and vec a + vec b ` respectively and , if ` | vec a +vec b | =6 , | vec b + vec c | =8 and |vec c +vec a | =10 , " then " | vec a + vec b + vec c| ` is equal to :

A

` 5 sqrt2 `

B

`50 `

C

` 10 sqrt2`

D

` 10 `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If vec(p), vec(q) and vec(r) are perpendicular to vec(q) + vec(r), vec(r) + vec(p) and vec(p) + vec(q) respectively and if |vec(p) + vec(q)| = 6, |vec(q) + vec(r)| = 4sqrt(3) and |vec(r) + vec(p)| = 4 , then |vec(p) + vec(q) + vec(r)| is

If vec u, vec v , vec w be vectors such that vecu +vec v + vec w =0 and |vec u | =3, |vec v | = 4, | vec w | = 5 , " then " vec u. vec v + vec v .vec w+ vec w .vec u is equal to : a)47 b)-47 c)0 d)-25

If |vec(a)| = 5, |vec(b)| = 6 and vec(a).vec(b) = -25 , then |vec(a) xx vec(b)| is equal to

If |vec(a)|=13, |vec(b)|=5 and vec(a).vec(b)=30 , then |vec(a) xx vec(b)| is equal to

If vec a is perpendicular to vec b and vec c | vec a| =2 | vecb | =3, | vec c | =4 and the angle between vecb and vec c " is " (2pi)/(3), " then " [vec a vecb vec c ] is equal to : a) 4sqrt3 b) 6 sqrt3 c) 12 sqrt3 d) 18 sqrt3

IF vec x =vec a + vec b, vec y= vec a - vec b,|vec a|=2,|vec b|=3 and the angle between vec a and vec b is pi/3 then |vec x times vec y| is equal to

If |vec(a)|=3, |vec(b)|=1, |vec(c )|=4 and vec(a) +vec(b) + vec( c)=0 , then the value of vec(a).vec(b) + vec(b).vec(c )+vec(c ).vec(a) is equal to

If vec a , vec b , vec c are non coplanar and (vec a+lamda vec b).[(vec b+3 vec c) times (vec c -4 vec a)]=0 then the value of lamda is equal to -