यदि `vec(A)=4hat(i)+3hat(j)` तथा `vec(B)=3hat(i)+4hat(j)` हो तो निम्न सदिशों के परिमाण ज्ञात कीजिये -
(i) `vec(A)`, (ii) `vec(B)`, (iii) `vec(A)+vec(B)`, (iv) `vec(A)-vec(B)`

If vec(A) = 3hat(i) - 4hat(j) and vec(B) = -hat(i) - 4hat(j) , calculate the direction of vec(A) + vec(B) .

If vec(a) = 2hat(i) - 3hat(j) + 4hat(k), vec(b) = hat(i) + 2hat(j) - 3hat(k) and vec(c ) = 3hat(i) + 4hat(j) - hat(k) , then find vec(a).(vec(b) xx vec(c )) and (vec(a) xx vec(b)).vec(c ) . Is, vec(a).(vec(b) xx vec(c )) = (vec(a) xx vec(b)).vec(c ) ?

Let vec(a)=2hat(i)+3hat(j)-hat(k) , vec(b)=-hat(i)+3hat(j)+4hat(K) . Evaluate (i) |vec(a)|,|vec(b)| (ii) vec(a).vec(b) (iii) the angle between the vectors vec(a) and vec(b) (iv) the projection of vec(a) on vec(b) (v) the projection of vec(b) on vec(a) area of the DeltaAOB where O is origin

If vec(a) = hat(i) + hat(j) + 2 hat(k) and vec(b) = 3 hat(i) + 2 hat(j) - hat(k) , find the value of (vec(a) + 3 vec(b)) . ( 2 vec(a) - vec(b)) .

Find ( vec (a) xxvec (b)) and |vec(a) xx vec (b)| ,when (i) vec(a) = hat(i)-hat(j)+ 2hat(k) and vec(b)= 2 hat(i)+3 hat(j)-4hat(k) (ii) vec(a)= 2hat (i)+hat(j)+ 3hat(k) and vec(b)= 3hat(i)+5 hat(j) - 2 hat(k) (iii) vec(a)=hat(i)- 7 hat(j)+ 7hat(k) and vec(b) = 3 hat(i)-2hat(j)+2 hat(k) (iv) vec(a)= 4hat(i)+ hat(j)- 2hat(k) and vec(b) = 3 hat(i)+hat(k) (v) vec(a) = 3 hat(i) + 4 hat(j) and vec(b) = hat(i)+hat(j)+hat(k)

If vec(a) = hat (i) + hat (j) - hat (k) , vec (b) = 2 hat (i) - 2 hat (j) + hat (k) and vec(c ) = 3 hat (i) + 2 hat (j) - 2 hat (k) show that , vec (a). (vec(b)+vec(c)) = vec (a).vec(b) + vec (a).vec(c )

If vec(A) = 3 hat(i) - 4 hat(j) and vec(B) = 2 hat(i) + 16 hat(j) then the magnitude and direction of vec(A) + vec(B) will be

If vec(A)=2hat(i)+3hat(j)-hat(k) and vec(B)=-hat(i)+3hat(j)+4hat(k) , then find the projection of vec(A) on vec(B) .