Home
Class 11
PHYSICS
Find the scalar produt of the two vector...

Find the scalar produt of the two vectors
`vecv_1=hati +2hatj+3hatk and vecv_2 =3hati +4hatj-5hatk`

Text Solution

Verified by Experts

`vecv_1 * vecv_2 =(hati+2hatj+3hatk)*(3hati+4hatj-5hatk)`
`=1xx3+2xx4+3xx(-5)=-4`
as `hati * hati = hatj*hatj=hatk * hatk =1 and hati * hatj =hati* hatk =hatj*hatk=hatj * hati =hatk * hati =hatk*hatj =0`
Promotional Banner

Similar Questions

Explore conceptually related problems

The scalar triple product of the vectors 2hati,3hatj and -5hatk is

Determine the vector product of vecv_1 = 2hati +3hatj -hatk and vecv_2 = hati+2hatj -3 hatk ,

Determine the area of the parallelogram formed by the 2 vectors . hati + 3hatj -4hatk and 3hati - 2hatj - hatk

Show that vectors veca= 2hati+5hatj-6hatk and vecb=hati+5/2 hatj -3hatk are parallel.

The unit vector parallel to the resultant of the vectors vecA=4hati+3hatj+6hatk and vecB=-hati+3hatj-8hatk is

Find the angle between the vectors oversetrarrA =2hati + 3hatj+ 2hatk and oversetrarrB= hati- hatj +3hatk

What is the value of linear velocity, if vecomega=3hati-4hatj+hatk and vecr=5hati-6hatj+6hatk ?

The angle between the following pair of vectors vec(A)=hati+hatj+hatkandvec(B)=-hati-hatj+2hatk is

The equation of plane passing through (0,1,2) and parallel to the vectors 3hati+hatj+hatk" and " -hati+2hatj-5hatk is

Show that the vectors oversetrarrA = 4hati + 2hatj- 4hatk and oversetrarrB = hati + 4hatj + 3hatK are perpenducular to each other.