" 17.Prove (ftr(s "(x)/(40)):" ix "(bar(a)timeshat i)+hat j times(bar(a)timeshat j)+hat k times(bar(a)timeshat k)=2vec a

If bar(a) is any vector the value of hat i times(bar(a)times hat i)+hat j times(bar(a)times hat j)+hat k times(bar(a)times hat k)=

Prove that hat(i)times(vec atimeshat(i))+hat(j)times(vec atimeshat(j))+hat(k)times(vec atimeshat(k))=2 vec a

hat(i)*(hat(j)timeshat(k))+hat(j)*(hat(k)timeshat(i))+hat(k)*(hat(i)timeshat(j))=

If bar(P)=hat i+hat j+hat k,bar(Q)=2hat i-hat j-hat k , then bar(P)-bar(Q) is

If bar(a)=3hat i+4hat j+5hat k then the value of (bar(a)timeshat i)^(2)+(bar(a)timeshat j)^(2)+(bar(a)timeshat k)^(2) is ......

[" If "bar(a)=3hat i+4hat j+5hat k" ,then the value of "],[(bar(a)timeshat i)^(2)+(bar(a)timeshat j)^(2)+(bar(a)timeshat k)^(2)" is "....],[" O "100],[" 110"],[" Q "90],[85]

If bar(a)=2hat i-hat j+2hat k then the value of |bar(a)timeshat i|^(2)+|bar(a)timeshat j|^(2)+|bar(a)timeshat k|^(2)=

Prove that hat i xx(vec a xxhat i)hat j xx(vec a xxhat j)+hat k xx(vec a xxhat k)=2vec a

If bar(a) and bar(b) are vectors such that |bar(a)+bar(b)|=sqrt(29) and bar(a)times(2hat i+3hat j+4hat k)=(2hat i+3hat j+4hat k)timesbar(b) then the value of (bar(a)+bar(b)).(-7hat i+2hat j+3hat k) is .......

Let hat(a), hat(b) and hat(c) be the non-coplanar unit vectors. The angle between hat(b) and hat(c) be alpha and angled between hat(c) and hat(a) be beta and between hat(a) and hat(b) be gamma . If A(hat(a)cosalpha, 0) , B(hat(b)cosbeta, 0) and C(hat(c)cosgamma, 0) , then show that in triangleABC . (|hat(a)times(hat(b)timeshat(c))|)/(sinA)=(|hat(b)times(hat(c)timeshat(a))|)/(sinB)=(|hat(c)times(hat(a)timeshat(b))|)/(sinC)