बिन्दुओ `hat(i)-2hat(j)+hat(k)` तथा `3hat(k)-2hat(j)` को मिलाने वाली रेखा का सदिश समीकरण ज्ञात कीजिए।

Find the value of lamda , if the points with position vectors 3hat(i)- 2hat(j)- hat(k), 2hat(i) + 3hat(j)- 4hat(k), -hat(i) + hat(j) + 2hat(k), 4hat(i) + 5hat(j) + lamda hat(k) are coplanar.

Find the value of lambda , if the point with position vectors 3hat(i) - 2hat(j) - hat(k), 2hat(i) + 3hat(j) - 4hat(k), -hat(i) + hat(j) + 2hat(k) and 4hat(i) + 5hat(j) + lambda hat(k) are coplanar.

If A,B,C and D are points whose position vectors are hat(i) + hat(j) + hat(k), 4hat(i) - hat(j) + 2hat(k), 5hat(i) + hat(j) , 7 hat(i) + 2hat(j) + 3hat(k) respectively, then the projection of AB on CD is

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 =