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Calculate the magnitude off position vec...

Calculate the magnitude off position vector R `( 3 hat i + 4 hat j + 7 hat k)`.

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The magnitude of the vector 6 hati+2 hat j+3 hat k is

Compute the magnitude of the following vectors : vec a= hat i + hat j+ hatk, vec b=2 hat i- 7 hat j- 3 hat k, vec c= 1/sqrt3 hat i +1/sqrt3 hat j- 1/sqrt3 hatk

Prove that the points whose position vectors are 6 hat i - 7 hat j, 16 hat i -29 hat j -4 hat k , 3 hat j -6 hat k and 2 hat i+5 hat j +10 hat k are coplanar.

Find the magnitude of vec a=(hat i+3 hat j- 2 hat k)*(-hat i+3 hat k) .

Find the magnitude of vec v underset 1= (3 hat k+ 4 hat j)* (hat i+ hat j- hat k) .

Prove that the points whose position vectors are hat i - hat j+ hat k , 2 hat i+ 3 hat j+ hat k , hat i+ 2 hat j+ 3 hat k , -2 hat j+ 3 hat k lie in the same plane.

Show that the four points having position vectors 6 hat i-7 hat j, 16 hat i-19 hat j -4hat k, 3 hat j-6 hat k, 2 hat i+5 hat j +10 hat k are not coplanar.

Show that the point A,B,C and D whose position vectors are respectively 2 hat i+ 4 hat j+ 2 hat k , hat i+ 2 hat j+ hat k , 3 hat i+ hat j- 3 hat k and 4 hat i+3 hat j - 2 hat k are the vertices of a paralleogram (use vector method).

Find a vector of magnitude 5 units, and parallel to the resultant of the vectors vec a =2 hat i+3 hat j- hat k and vec b= hat i-2 hat j+hat k .

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JBD PUBLICATION-KINEMATICS-EXAMPLE
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