[" Find the volume of a cuboid whose edges are given by "-3hat i+7hat j+5hat k" ,"],[-5hat i+7hat j-3hat k" and "7hat i-5hat j-3hat k]

Find the volume of a parallelepiped whose edges are given by -3hat i+7hat j-5hat k,-5hat i+7hat j-3hat k and 7hat i-5hat j-3hat k

Find the volume of a parallelepiped whose edges are given by -3 hat i+7 hat j-5 hat k ,-5 hat i+7 hat j- 3 hat ka n d7 hat i-5 hat j-3 hat kdot

Find the volume of the Parallelopiped whose coterminous edges are represented by the vectors vec a = -3hat i+7 hat j + 5 hat k, vec b=-5 hat i +7 hat j- 3 hat k and vec c = 7 hat i -5 hat j -3 hat k .

Find the value of (3hat i-hat j+5hat k)-(hat i-5hat j+3hat k)

Find the value of lambda if the volume of a tetrashedron whose vertices are with position vectors hat i-6hat j+10hat k,-hat i-3hat j+3hat k,5hat i-hat j+lambdahat k and 7hat i-4hat j+7hat k is 11 cubic unit.

The value of p so that vectors 2hat i-hat j+hat k , hat i+2hat j-3hat k and 3hat i+phat j+5hat k are coplanar is

Find the volume of the parallelopiped whose coterminus edges are given by vectors 2hat(i)+3hat(j)-4hat(k),5hat(i)+7hat(j)+5hat(k)and4hat(i)+5hat(j)-2hat(k) .

Show that the points A(-2hat i+3hat j+5hat k),B(hat i+2hat j+3hat k) and C(7hat i-hat k) are collinear.

Find the volume of the parallelopiped whose coterminus edges are : (1) 3hat(i)+5hat(k),4hat(i)+2hat(j)-3hat(k),3hat(i)+hat(j)+4hat(k) (2) bar(a)=hat(i)+hat(j),bar(b)=hat(j)+hat(k),bar(c)=hat(k)+hat(i) (3) 2hat(i)+5hat(j)-4hat(k),5hat(i)+7hat(j)+5hat(k),4hat(i)+5hat(j)-2hat(k) .

Show that the points whose position vectors are 5hat i+5hat k,2hat i+hat j+3hat k and -4hat i+3hat j-hat k are collinear