Home
Class 11
PHYSICS
Find the value of n so that vector (2hat...

Find the value of n so that vector `(2hati + 3hatj + hatk)` is perpendicular to vector `(3hati + 4hatj + n hatk)`

Text Solution

Verified by Experts

We are given:
`vecA = 2hati - 3hatj + hatk and vecB = 3hati + 4hatj + nhatk`
Also `vecA_|_vecB`. We are to calculate, the value of n
We know that, if two vectors are perpendicular to each other, then, `vecA .vecB = 0` or `(2hati + 3hatj + hatk).(3hati + 4hatj + nhatk) = 0`
or `6 - 12 + n = 0`
or `n = 6`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the vector equation of a plane passing through the point having position vector 2hati+hatj+hatk and perpendicular to the vector: 4hati-2hatj+3hatk .

The unit vector which is orthogonal to the vector 3hati + 2hatj + 6hatk and is coplanar with vectors 2hati + hatj + hatk and hati - hatj + hatk is (a) (2hati - 6hatj + hatk)/sqrt41 (b) (2hati-3hatj)/sqrt13 (c) (3 hatj -hatk)/sqrt10 (d) (4hati + 3hatj - 3hatk)/sqrt34

Find a vector of magnitude 7 , which is perpendicular to both the vectors : 2hati-hatj+hatk and hati+hatj-hatk

Find a vector of magnitude 8, which is perpendicular to both the vectors 2hati-hatj+3hatk and -hati+2hatj-hatk .

Find a vector of magnitude 19, which is perpendicular to both the vectors : 4hati-hatj+8hatk and -hatj+hatk .