Let `bar a = 2bar i + bar k,bar b=bar i+bar j+bar k and bar c=4 bar i-3bar j+7 bar k` three vectors. The vector which satisfies `bar r xx bar b=bar c xx bar b and bar r.bar a=0` is

If bar a = 2 bar I + bar j - bar k, bar b = - bari + 2 bar j - 4 bar k and bar c = bar I + bar j + bar k , then find ( bar a xx bar b) cdot (bar b xx bar c) .

Let bar a = 2 bari + 4 bar j - 5 bark, bar b= bar i + bar j + bar k and bar c = bar j + 2 bar k . Find the unit vector in the opposite direction of bar a + bar b + bar c .

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(a)=bar(i)+bar(j)+bar(k) and bar(b)=bar(j)-bar(k) , then find a vector vec( c ) such that bar(a)xx bar( c )=bar(b) and bar(a).bar( c )=3 .

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

If bar(a)=bar(i)+bar(j)+bar(k) and bar(b)=2bar(i)-3bar(j)-bar(k) , find the unit vector in the direction of bar(a)+bar(b) .

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