[" 4.Show that the following vectors are coplanar "],[2hat imath-hat j+hat k,hat imath-3hat jmath-5hat k&3hat i-4hat jmath-4hat k]

Prove that the four points having position vectors are coplanar: 2hat i-hat j+hat k,hat i-3hat j-5hat k and 3hat i-4hat j-4hat k

Prove that the following vectors are coplanar: hat i+ hat j+ hat k ,\ 2 hat i+3 hat j- hat k\ a n d- hat i-2 hat j+2 hat k

Show that the following vectors are coplanar : hat(i)-hat(j)+hat(k), 6hat(i)-hat(k) and 4hat(i)+2hat(j)-3hat(k)

Show that each of the following triads of vectors are coplanar: vec a=hat i-2hat j+3hat k,vec b=-2hat i+3hat j-4hat k,vec c=hat i-3hat j+5hat k

Show that the following vectors are coplanar. hat(i) - 2hat(j) + 2hat(k), 3hat(i) + 4hat(j) + 5hat(k), -2hat(i) + 4hat(j) - 4hat(k)

Show that the following vectors are coplanar : -2hat(i)-2hat(j)+4hat(k), -2hat(i)+4hat(j)-2hat(k), 4hat(i)-2hat(k) and hat(i)-hat(j)+hat(k) .

Show that the following vectors are coplanar. hat(i) + 2hat(j) + 3hat(k), -2hat(i) - 4hat(j) + 5hat(k), 3hat(i) + 6hat(j) + hat(k)

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

Find the direction cosines of the following vectors: 2hat i+2hat j-hat k6hat i-2hat j-3hat k3hat i-4hat k