Home
Class 12
PHYSICS
If vecA=3hati+hatj+2hatk and vecB=2hati-...

If `vecA=3hati+hatj+2hatk` and `vecB=2hati-2hatj+4hatk`, then value of `|vecA+vecB|` will be

A

`8sqrt2`

B

`8sqrt3`

C

`8sqrt5`

D

`5sqrt8`

Text Solution

Verified by Experts

The correct Answer is:
B
`vecAxxvecB={:|(hati,hatj,hatk),(3,1,2),(2,-2,4)|:}`
`=(1xx4-2xx-2)hati+(2xx2-4xx3)hatj+(3xx-2-1xx2)hatk`
`=8hati-8hatj-8hatk`
Magnitude of `vecAxxvecB=|vecAxxvecB|=sqrt((8)^(2)+(-8)^(2)+(-8)^(2))=8sqrt(3)`
Promotional Banner

Similar Questions

Explore conceptually related problems

If vecA=3hati+hatj+2hatk and vecB=2hati-2hatj+4hatk then value of |vecAxxvecB| will be

If vecA=2hati+3hatj-hatk and vecB=-hati+3hatj+4hatk then projection of vecA on vecB will be

If vecA=9hati-7hatj+5hatk and vecB=3hati-2hatj-6hatk then the value of (vecA+vecB).(vecA-vecB) is

For vectors vecA=3hati-4hatj+5hatk and vecB=hati-hatj-hatk , calculate the value of (vecA+vecB)xx(vecA-vecB)

If veca=2hati-3hatj-hatk and vecb=hati+4hatj-2hatk , then vecaxxvecb is

Given : vecA = 2hati - hatj + 2hatk and vecB = -hati - hatj + hatk . The unit vector of vecA - vecB is

If vecA= 4hati+nhatj-2hatk and vecB=2hati+3hatj+hatk , then findt the value of n so that vecA bot vecB .

vecA=2hati+hatj , B=3hatj-hatk and vecC=6hati-2hatk . value of vecA-2vecB+3vecC would be

If vecA = hati+hatj+hatk and vecB = 2hati+hatj find vecA . vecB

If vecA and vecB are perpendicular vectors and vector vecA=5hati+7hatj-3hatk and vecB=2hati+2hatj-ahatk . The value of a is