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)=`

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) 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)=

Let bar(a)=hat j-hat k and bar(c)=hat i-hat j-hat k then the vector bar(b) satisfying bar(a)timesbar(b)+bar(c)=0 and bar(a).bar(b)=3 is

If bar(a)=hat i+hat j+2hat k, bar(b)=hat i+2hat j+2hat k and |bar(c)_(1)|=1 ,then the maximum value of [bar(a)timesbar(b) quad bar(b)timesbar(c) quad bar(c)timesbar(a)] is

If bar(a)=(3hat i-hat j)/(sqrt(10)),bar(b)=(hat i+3hat j+hat k)/(sqrt(11)), then the value of (2bar(a)+bar(b))*[(bar(a)timesbar(b))times(bar(a)-3bar(b))]

If bar(a)=(1)/(sqrt(10))(3hat(i)+hat(k)) and bar(b)=(1)/(7)(2hat(i)+3hat(j)-6hat(k)) then the value of (2bar(a)-bar(b)*((bar(a)timesbar(b))times(bar(a)+2bar(b))} is equal to

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

Let bar(a)=2hat i+hat j-2hat k,bar(b)=hat i+hat j and bar(c) be a vector such that |bar(c)-bar(a)|=3,|(bar(a)timesbar(b))timesbar(c)|=3 and the angle between bar(c) and bar(a)timesbar(b) is 30^(@) . Then, bar(a).bar(c) is equal to

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