Question

( vec{a}=4 hat{u}+3 hat{g} )
( vec{b}=3 hat{a}+4 hat{g} )
a) ( |vec{a}|=sqrt{4^{2}+3^{2}}=sqrt{25}=5 )
b) ( |vec{b}|=sqrt{3^{2}+4^{2}}=sqrt{25}=5 )
O) ( |vec{a}+vec{b}|=(4 hat{imath}+3 hat{g})+(3 hat{imath}+4 hat{g}) )
( =7 a+7 hat{g} )
( =sqrt{7^{2}+7^{2}}=sqrt{2 times 49}=7 sqrt{2} )
d) ( |vec{a}-vec{b}|=(4 hat{i}+3 hat{g})-(3 hat{imath}+4 hat{g}) )
( =hat{u}-hat{q} quad=sqrt{1^{2}+(-1)^{2}}=sqrt{2} )

# 1. I et à = 4i +3j and b = 31 +4j. Find the magnitudes of (a) a, (b), (c)ā +b and (d)ā -6.

Solution