माना कि एक समतल में बिन्दु P, Q, R तथा S है। जिनके स्थिति सदिश क्रमशः `-2hat(i)-hat(j), 4hat(i), 3hat(i)+3hat(j)` तथा `-3hat(i)+2hat(j)` हैं। तो समचतुर्भुज PQRS होगा

If [[hat(i)+4hat(j)+6hat(k), 2hat(i)+ahat(j)+3hat(k), hat(i)+2hat(j)-3hat(k)]]=0 then a=

Find the magnitude of the vector (2hat(i) - 3hat(j) - 6hat(k)) + (-hat(i) + hat(j) + 4hat(k)) .

Show that the vectors are coplanar 2hat(i)+3hat(j)+hat(k),hat(i)-hat(j),7hat(i)+3hat(j)+2 hat(k)

Let P, Q, R and S be the points on the plane with position vectors -2hat(i)-hat(j), 4hat(i), 3hat(i)+3hat(j) and -3hat(i)+2hat(j) , respectively. The quadrilateral PQRS must be

Let P, Q, R and S be the points on the plane with position vectors -2hat(i)-hat(j), 4hat(i), 3hat(i)+3hat(j) and -3hat(i)+2hat(j) , respectively. The quadrilateral PQRS must be

Show that the vectors are coplanar hat(i)-2hat(j)+3hat(k),-2hat(i)+3hat(j)-4hat(k),-hat(j)+2hat(k)

The sine of the angle between 3hat(i)+hat(j)+2hat(k)and 2hat(i)-2hat(j)+4hat(k) is