- Vector Algebra part 16 (Concepts: Scalar , Vector Product)
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Show that the points A, B, C with position vectors `2hati- hatj + hatk`, `hati - 3hatj - 5hatk` and `3hati - 4hatj - 4hatk` respectively, are the vertices of a right-angled triangle. Hence find the area of the triangle
If `veca and vecb` are perpendicular vectors, `|veca+vecb| = 13 and |veca| = 5` ,find the value of `|vecb|.`
If either vector `veca = vec0` or `vecb = vec0` , then `veca.vecb = 0`. But the converse need not be true. Justify your answer with an example.
Show that the vectors `2hati - hatj + hatk` and `3hati - 4hatj - 4hatk` `form the vertices of a right-angled triangle.