Show that the points A, B and C with position vectors `veca=3i-4j-4k,vecb=2i-j+k` and `vecc=i-3j-5k` respectively form the vertices of a right angled triangle.

Consider the vectors veca=i-7j+7k,vecb=3i-2j+2k . Find veca.vecb .

Find the angle between the vectors veca=3i+4j+k and vecb=2i+3j-k .

Show that the points A,B and C with position vectors oversetrarra =3overset^^i-4overset^^j-4overset^^k," " oversetrarrb= 2overset^^i-overset^^j+overset^^k " and " oversetrarrc=overset^^i-3overset^^j-5overset^^k respectively form the vertices of a right angled triangle.

Find veca+vecb,veca-vecb and vecb+vecc using the vectors. veca=3i+4j+k,vecb=2i-7j-3k and vecc=2i+3j-9k .

Find the angle between the vectors veca=2i+j-k and vecb=i-j+k .

If veca=i-2j+3k , vecb=2i+3j-4k and vecc=i-3j+5k ,then check whether veca , vecb , vecc are coplanar.

Find the unit vector along veca-vecb where veca=i+3j-k and vecb=3i+2j+k .

Consider the vectors veca=2i+j+3k,vecb=i+4j-k .Find the projection of veca on vecb .

Find veca.vecb,vecatimesvecb and vecbtimesvecc using the vectors. veca=3i+4j+k, vecb=2i-7j-3k and vecc=2i+3j-9k .