Question

حاصل جمع المتجهين :
A with rightwards arrow on top equals 3 i with hat on top plus 4 j with hat on top space space space space comma space space space space space B with rightwards arrow on top equals i with hat on top minus j with hat on top

Answer 1

المتجه A:
A = 3i + 4j
المتجه B:
B = i - j
نقوم بجمع المتجهين A و B كالتالي:
A + B = (3i + 4j) + (i - j)
A + B = 3i + 4j + i - j
A + B = (3 + 1)i + (4 - 1)j
A + B = 4i + 3j
إذاً، حاصل جمع المتجهين A و B هو:
4i + 3j