Which of the following are orthogonal pairs a) 3i+2j b) i+j c) 2i-3j d) 7i+j 1.a&d 2.a&c 3.c&d 4.b&d
steps plz..
2006-10-09 19:39:16 · 4 answers · asked by yamuna s 1 in Science & Mathematics ➔ Mathematics
take the dot product of the pairs, if the dot product is equal to zero then they are orthogonal.
<3,2><1,2> = 3*1 + 2*2 = 7, so a and b are not orthogonal, you know enough now to find the answer yourself.
2006-10-09 19:48:05 · answer #1 · answered by Anonymous · 1⤊ 0⤋
In two dimensions, it's very easy to find a vector that's orthogonal to a given vector.
The vector that is orthogonal to u=(u1,u2) is the vector v=(u2,-u1), or any scalar multiple thereof.
This gives you a quick way of answering your question, without even computing any dot products.
Unfortunately, this doesn't work in 3D.
2006-10-09 20:29:20 · answer #2 · answered by James L 5 · 0⤊ 0⤋
a,b are orthogonal if their inproduct = 0. u can do this yiurself
2006-10-10 00:31:47 · answer #3 · answered by gjmb1960 7 · 0⤊ 0⤋
B
2006-10-09 19:40:35 · answer #4 · answered by Kelly Bundy 6 · 0⤊ 0⤋