Set the following vectors in the increasing order of their magnitude `(a)3hat i+4hat j,(b)2hat i+4hat j+6hat k,(c)2hat i+2hat j+2hat k,`

A point on the line hat r=2hat i+3hat j+4hat k+t(hat i+hat j+hat k) is

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 each of the following triads of vectors are coplanar: vec a=-4hat i-6hat j-2hat k,vec b=-hat i+4hat j+3hat k,vec c=-8hat i-hat j+3hat k

vec a=2hat i-hat j+hat k,vec b=hat i+2hat j-hat k,vec c=hat i+hat j-2hat k A vector coplanar coplanar with vec b and vec c whose projectin on vec a is magnitude sqrt((2)/(3)) is hat i+3hat j-3hat k b.-2hat i-hat j+5hat k c.2hat i+3hat j+3hat k d.2hat i+hat j+5hat k

Find the sum of the vectors vec a=hat i-2hat j+hat k,vec b=-2hat i+4hat j+5hat k and vec c=hat i-6hat j-7hat k

Find the sum of vectors vec a=hat i-2hat j+hat k,vec b=-2hat i+4hat j+5hat k and vec c=hat i-6hat j-7hat k

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

Show that the points whose position vectors are as given below are collinear: 2hat i+hat j-hat k,3hat i-2hat j+hat k and hat i+4hat j-3hat k3hat i-2hat j+4hat k,hat i+hat j+hat k and -hat i+4hat j-2hat 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)-hat(j)+hat(k), 6hat(i)-hat(k) and 4hat(i)+2hat(j)-3hat(k)