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2 vector p and q are inclined to each other at an angle theta the unit vector perpendicular to both

2 vector p and q are inclined to each other at an angle theta the unit vector perpendicular to both
ย 

Grade:11

3 Answers

Tony
108 Points
5 years ago
To find a unit vector โ€œ nโ€ย  perpendicular to two vectors p and q we need cross product of those vectors.ย 
Its formula is :
n = cross product of p and q vectors/ magnitude of their cross product
Or simply we can say
n =( p ร— q) / |pร—q|
Khimraj
3007 Points
5 years ago
let the perpendicular vector is a.
Then a is given byย 
\vec{a} = \vec{p}X\vec{q}
so unit perpendicular vector
\hat{a} = \vec{a}/|\vec{a}| = \vec{p}X\vec{q}/|\vec{p}X\vec{q}|
Hope it clears.................................................................
NIKHIL CHOTRANI
32 Points
5 years ago
firstly the cross product say p*q gives u the vector perpendicular to both p and q
but u are required to answer the unit vector and not the vector,so u will divide the cross product vector by its magnitude
i.e unit vector perpendicular to both p and q is=(p*q)/|p*q|

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