Ls Mag If K= 7i-3j+2k And L= 4i+5j-3k, Calculate The Magnitude Of K And L, The Magnitude Of K + L And The Mag Of K-l?

If k= 7i-3j+2k and L= 4i+5j-3k, calculate the magnitude of k and L, the magnitude of K + L and the mag of k-l? - ls mag

the scale is the length of the vector on the right side - but as the length of the vector to calculate? What if only two components 3i + 4k. Well, you can define the elements and add them at the top of the tail and then presents the new vehicle - but what do you do when you do it? a right triangle! and the hypotenuse is the vector of the expansion. but that's easy - just use the Pythagorean theorem! SO 3 2 + 4 ^ 2 = c ^ 2 c = 5, so that the size of 4K, 3i + 5. doing the same with vectors, but uses the theorem of Pythagoras three dimensions, which may seem daunting, but it really is as simple as the Pythagorean theorem normal. instead of a ^ 2 + b ^ 2 = c ^ 2 have one more thing:
a ^ 2 + b ^ 2 + e ^ 2 = c ^ 2 where c is the hypotenuse, but you have only third hand now. For k-vector, take a = 7, b = -3, E = 2 and solve "c" as the Pythagorean theorem normal! Also, the vector L, of course! and you know that when you add the two vectors have just added, its componentsVant law, K + L = (7 +4) + i (-3 5), j, and so on. . then the same with these new vectors! that's all, good luck!