Home
Class 12
PHYSICS
(i) State the associative and commutativ...

(i) State the associative and commutative laws of vector addition.
(ii) For two given vectors `A=hat I + 2 hat j -3hat k , overset(rarr)B=2 hati -hat j + 3 hatk` find the vector sum of `overset(rarr)A` and `overset(rarr)B` also find the magnitude of `(overset(rarr)A+overset(rarr)B)`

Text Solution

AI Generated Solution

### Step-by-Step Solution: #### (i) State the Associative and Commutative Laws of Vector Addition 1. **Associative Law of Vector Addition**: The associative law states that when adding three vectors, the way in which the vectors are grouped does not affect the sum. Mathematically, this can be expressed as: \[ \vec{A} + (\vec{B} + \vec{C}) = (\vec{A} + \vec{B}) + \vec{C} ...
Promotional Banner

Similar Questions

Explore conceptually related problems

If overset(rarr)A=2 hat i + 3 hat j- hat k and overset(rarr)B=-hat i+3 hat j +4 hat k and then projection of overset(rarr)A on overset(rarr)B will be :

Are the magnitude and direction of overset(rarr) A- overset(rarr)B same as that overset(rarr)B-overset(rarr)A ?

Find unit vectors along overset(rarr)A=hat I + hat j - 2 hat k and overset(rarr)B=hat I +2 hat j -hat k

Show that the area of the triangle contained between the vector overset rarr(r ) and overset rarr(b) is one half of the magnitude of overset rarr(a) xx overset rarr(b)

The angle between vector (overset(rarr)Axxoverset(rarr)B) and (overset(rarr)B xx overset(rarr)A) is :

If |overset(rarr)A+overset(rarr)B|=|overset(rarr)A-overset(rarr)B| what is the angle between overset(rarr)A and overset(rarr)B ?

If overset(rarr)A=(2 hat i+2 hat j + 2 hat k) and overset(rarr)B=(3 hat i+ 4 hat j) Determine the vector having magnitude as overset(rarr)B and parallel to . overset(rarr)A

Consider a system of two vectors overset(rarr)a=3hat I +4 hat j, overset(rarr)b=hat i+hatj ,

Which of the following is the unit vector perpendicular to ? overset(rarr)A and overset(rarr)B ?

If |overset(rarr)A-overset(rarr)B|=|overset(rarr)A|-|overset(rarr)B| the angle between overset(rarr)A and overset(rarr)B is