सदिश ` 5hati - hatj + 2hatk ` की अनुदिश एक ऐसा सदिश ज्ञात कीजिए परिमाण 8 इकाई है |

एक रेखा की दिक्-कोसाइन ज्ञात कीजिए तो निर्देशांक्षो के साथ समान कोण बनाती है |

Show that the four points with position vectors 4 hati +8 hatj + 12 hatk, 2 hati + 4 hatj + 6 hatk , 3 hati + 5 hatj+ 4 hatk and 5 hati + 8 hatj + 5 hatk are coplahar .

यदि A (-hati + 3hatj + 2hatk) , B (-4hati + 2hatj - 2hatk) तथा C(5hati + (lambda +1)hatj + mu hatk) संरेखीय है तब :

The three vectors 7 hati - 11 hatj + hatk, 5 hati + 3 hatj - 2 hatk, 12 hati - 8 hatj- hatk from :

If p_(1) and p_(2) are the lengths of perpendiculars from the points hati - hatj + 3hatk and 3hati + 4hatj + 3hatk to the plane barr *(5hati + 2hatj - 7hatk) + 8 = 0 , then

The unit vector which is orthogonal to the vector 5hati + 2hatj + 6hatk and is coplanar with vectors 2hati + hatj + hatk and hati - hatj + hatk is

The unit vector which is orthogonal to the vector 5hati + 2hatj + 6hatk and is coplanar with vectors 2hati + hatj + hatk and hati - hatj + hatk is

Show that the four points which the position: Vectors: 4hati + 8hatj + 12hatk, 2hati + 4hatj +6 hatk, 3hati + 5hatj + 4hatk, 5hati + 8 hatj + 5hatk are coplanar: