Find the magnitude of ( vec{a} ) and ( vec{b} ) which are having the same magnitude and such that the angle between them is 60 and their scalar product is ( frac{1}{4} ).

(| vec{a}|=| vec{b}|= frac{1}{ 2} )

(| vec{a}|=| vec{b}|= frac{1}{2 2} )

(| vec{a}|=| vec{b}|= frac{1}{ 2} )

(| vec{a}|=| vec{b}|= frac{1}{2 3} )

(| vec{a}|=| vec{b}|= frac{2}{ 3} )

Find the magnitude of ( vec{a} ) and ( vec{b} ) which are having the

1.	Find the magnitude of ( vec{a} ) and ( vec{b} ) which are having the same magnitude and such that the angle between them is 60 and their scalar product is ( frac{1}{4} ).
A.	(\| vec{a}\|=\| vec{b}\|= frac{1}{2 2} )
B.	(\| vec{a}\|=\| vec{b}\|= frac{1}{ 2} )
C.	(\| vec{a}\|=\| vec{b}\|= frac{1}{2 3} )
D.	(\| vec{a}\|=\| vec{b}\|= frac{2}{ 3} )
Answer» B. (\| vec{a}\|=\| vec{b}\|= frac{1}{ 2} )

Find the angle between the vectors if (| vec{a}|=| vec{b}|=3 sqrt{2} ) and ( vec{a}. vec{b}=9 sqrt{3} ).
If ( vec{a}=2 hat{i}+3 hat{j}+4 hat{k} ) and ( vec{b}=4 hat{i}-2 hat{j}+3 hat{k} ). Find (| vec{a} vec{b}| ).
Find the vector product of the vectors ( vec{a}=- hat{j}+ hat{k} ) and ( vec{b}=- hat{i}- hat{j}- hat{k} ).
Find the product (( vec{a}+ vec{b}).(7 vec{a}-6 vec{b}) ).
If ( vec{a} ,and , vec{b} ) are two non-zero vectors then (( vec{a}- vec{b}) ( vec{a}+ vec{b}) )=_________
Find the vector product of the vectors ( vec{a}=2 hat{i}+4 hat{j} ) and ( vec{b}=3 hat{i}- hat{j}+2 hat{k} ).
Find the angle between ( vec{a} ,and , vec{b} ) if (| vec{a}|=2,| vec{b}|= frac{1}{2 3} ) and ( vec{a} vec{b}= frac{1}{2} ).
If ( vec{a}= hat{i}- hat{j}+3 hat{k}, , vec{b}=5 hat{i}-2 hat{j}+ hat{k} ,and , vec{c}= hat{i}- hat{j} ) are such that ( vec{a}+ vec{b} ) is perpendicular to ( vec{c} ), then the value of .
Find the magnitude of ( vec{a} ) and ( vec{b} ) which are having the same magnitude and such that the angle between them is 60 and their scalar product is ( frac{1}{4} ).
Evaluate the product ((2 vec{a}+5 vec{b}).(4 vec{a}-5 vec{b}) ).