`ixx(a times i)+j times(a times j)+k times(a times k)` is always equal to

The vector ((i-j) times (j-k)) times (i+5k) is equal to

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)=

The value of abs(a times(i timesj))^(2)+abs(a times(j timesk))^(2)+abs(a times(k times i))^(2) is

hat i xx(vec a xxhat i)+hat j xx(vec a xxhat j)+hat k xx(vec a xxhat k) is equal to

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

The value of abs(a times i)^(2)+abs(a times j)^(2)+abs(a times k)^(2) is

Let a-i+j and b=2i-k .The point of intersection of the lines r times a=b times a and r times b=a times b is

If a=i-j-k,a*b=1" and "a times b=-j+k , then k is equal to

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