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)=`

Find the value of: (hat i times hat j).hat k + hat i.hat j

Find the value of hat i xx hat j

Find the value of hat I .( hat j xx hat k) .

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(r) is a vector satisfying bar(r)times(hat i+hat j+2hat k)=hat i-hat j , then |bar(r)| can be

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

hat i.(2hat j times3hat k)+hat j.(2hat k times3hat i)+hat k.(2hat i times3hat j) is equal to

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 .......

Write the value of ( hat ixx hat j)dot hat k+( hat j xx hat k)dot hat jdot

If bar(a)=3hat i-3hat j-4hat k, bar(b)=hat i+2hat j+hat k and bar(c)=3hat i-hat j-2hat k , then [bar(a) bar(b) bar(c)] =