Let `bar(u)=bar(i)+bar(j),bar(v)=bar(i)-bar(j),bar(w)=bar(i)+2bar(j)+3bar(k)` .If `bar(n)` is a unit vector such that `bar(u).bar(n)=0,bar(v).bar(n)=0` then `|bar(w).bar(n)|=`

Let bar(u)=hat i+hat j, bar(v)=hat i-hat j,bar(w)=hat i+2hat j+3hat k , n unit vector such that bar(u).bar(n)=0,bar(v).bar(n)=0 then |bar(w).bar(n)| =

Let bar(a)=-bar(i)-bar(k),bar(b)=-bar(i)+bar(j) and bar(c)=bar(i)+2bar(j)+3bar(k) be three given vectors. If bar(r) is a vector such that bar(r) times bar(b)=bar(c) times bar(b) and bar(r).bar(a)=0 then bar(r).bar(b)=

Let bar(a)=-bar(i)-bar(k) , bar(b)=-bar(i)+bar(j) and bar(c)=bar(i)+2bar(j)+3bar(k) be three given vectors. If bar(r) is a vector such that bar(r)timesbar(b)=bar(c)timesbar(b) and bar(r)*bar(a)=0 , than bar(r)*bar(b) =

If bar(u)=bar(a)+bar(b),bar(v)=bar(a)-bar(b),|bar(a)|=|bar(b)|=2 then |bar(u)xxbar(v)|=

If bar(a)=3bar(i)-5bar(j),bar(b)=6bar(i)+3bar(j) are two vectors and bar(c) is vector such that bar(c)=bar(a)timesbar(b) then |bar(a)|:|bar(b)|:|bar(c)|=

The vectors bar(i)+4bar(j)+6bar(k),2bar(i)+4bar(j)+3bar(k) and bar(i)+2bar(j)+3bar(k) form

If bar(a)=bar(i)-2bar(j)-bar(k) , bar(b)=-2bar(j)+bar(k) are two vectors and bar(c) is a vector such that bar(c)=bar(a) times bar(b) then |bar(a)|:|bar(b)|:|bar(c)| =

The lines bar(r)=bar(i)+bar(j)-bar(k)+s(3bar(i)-bar(j)) and bar(r)=4bar(i)-bar(k)+t(2bar(i)+3bar(k))

bar(b)=bar(i)-2bar(j)-3bar(k),bar(b)=2bar(i)+bar(j)-bar(k),bar(c)=bar(i)+ 3bar(j)-2bar(k) then bar(a).(bar(b)xxbar(c))

bar(a)=2bar(i)+3bar(j)-4bar(k),bar(b)=bar(i)+bar(j)+bar(k),bar(c)=4bar(i)+2bar(j)+3bar(k) then |bar(a)xx(bar(b)xxbar(c))|=