सदिश `(hat(i)+hat(j))` तथा `(hat(j)+hat(k))` के बीच कोण कितना होगा ?

(hat i xxhat j)*hat k+(hat j+hat k)*hat j

Evaluate [hat(i) hat(k) hat(j)] + [hat(i) hat(j)hat(k)] .

hat(i). ( hat(k) xx hat(j)) + hat(j) .(hat(i) xx hat(k) ) + hat(k). ( hat(j) xx hat(i) ) + hat(i). (hat(i) xx hat(j) ) + hat(j) . ( hat(j) xx hat(k) ) =...........

Show that the lines vec(r) =(hat(i) +2hat(j) +hat(k)) +lambda (hat(i)-hat(j)+hat(k)) " and " vec(r ) =(hat(i) +hat(j) -hat(k)) + mu (hat(i)- hat(j) + 2hat(k)) Do not intersect .

If four points 2hat(i) + hat(j) + hat(k), hat(i) + hat(j) - hat(k), hat(j) - hat(k) and lamda hat(j) + hat(k) are coplanar then lamda =

Find the value of : (i) (hat(i) xxhat(j))*hat (k) + hat(i)* hat(j) (ii) (hat(k) xx hat(j))* hat(i) +hat(j)* hat(k) hat(i) xx (hat(j) + hat(k) )+hat(j) xx(hat(k) +hat(i))+ hat(k) xx (hat(i)+hat(j))

Show that the vectors are mutually perpendicular hat (i) + 2 hat (j) + hat (k) ,hat (i) + hat (j) - 3 hat (k) and 7 hat (i) - 4 hat (j) + hat (k)

The value of hat(i).(hat(j) xx hat(k))+ hat(j). (hat(i) xxhat(k)) + hat(k) . (hat(i) xx hat(j))

(hat(i) + hat(j) - hat(k)).(hat(i) - hat(j) + hat(k)) =_________

(a.hat i ) hat i + ( a. hat j) hat j + (a.hat k) hat k =