Answer to Question #257522 in Physics for John

Question

In numbers 1-3, find the length of A x B 1. A = 2i - 2j - k, B = i - k 2. A = 2i + 3j, B = -i + j 3. A = 2i - 2j + 4k, B = -i + j -2k In numbers 4-5, find a. A • B, |A|, |B| 4. A = 2i - 4j + √5k, B = -2i + 4j - √5k 5. A = (3/5)i + (4/5)k, B = 5i + 12j

Answer 1

Cross product:

$1.\space\space A\times B=4i+3j+2k.\\ 2.\space\space A\times B=5k.\\ 3.\space\space A\times B=0.$

Dot product:

$1.\space\space A·B=-25,\\ 2.\space\space A·B=3.$