Home
Class 12
PHYSICS
Calculate the magnitude of the vector, o...

Calculate the magnitude of the vector, `overset(rarr)r =(3 hat i+4 hat j + 7hat k)` metre.

Text Solution

AI Generated Solution

To calculate the magnitude of the vector \(\overset{\rarr}{r} = 3\hat{i} + 4\hat{j} + 7\hat{k}\) meters, follow these steps: ### Step 1: Identify the components of the vector The vector \(\overset{\rarr}{r}\) has three components: - \(r_x = 3\) (the coefficient of \(\hat{i}\)) - \(r_y = 4\) (the coefficient of \(\hat{j}\)) - \(r_z = 7\) (the coefficient of \(\hat{k}\)) ...
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the magnitude of vector vec a=(3hat k+4hat j)xx(hat i+hat j-hat k)

Find the magnitude of vector vec a=(3hat k+4hat j)xx(hat i+hat j-hat k)

What is the torque of a force overset(rarr)F=(2 hat i -3 hat j +4 hat k) Newton acting at a point overset(rarr)r=(3 hat I +2 hat j + 3 hat k) metre about the origin ?

The area of parallelogram represented by the vectors overset(rarr)A = 2 hat i + 3 hat j and overset(rarr)B=hat i+4 hat j is

Following forces start acting on a particle at rest at the origin of the co-ordinate system overset(rarr)F_(1)=-4 hat I -5 hat j +5hat k , overset(rarr)F_(2)=5hat I +8 hat j +6hat k , overset(rarr)F_(3)=-3hat I + 4 hat j - 7 hat k and overset(rarr)F_(4)=2hat i - 3 hat j - 2 hat k then the particle will move

Compute the magnitude of the following vectors: quad vec a=hat i+hat j+hat kvdotsvec b=2hat i-7hat j-3hat k;vec c=(1)/(sqrt(3))hat i+(1)/(sqrt(3))hat j-(1)/(sqrt(3))hat k

Find a unit vector parallel to the vector 3 hat i +7 hat j + 4 hat k .

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

overset(rarr)A is a vector which when added to the resultant of vectors (2 hat i - 3 hat j + 4 hat k) and (hat i+5 hat j +2 hat k) yields a unit vector along the y axis then vector overset(rarr)A is :

What is the projection of vector overset(rarr)A=4hat I +3 hatj on vector overset(rarr)B=3hat I +4 hat j ?