Trigonometry ??????
posted by Elena .
If vector a= (10,10) and vector b= (4,5)
then a+b ≠ a + b. Explain.
I don't understand what this question is exactly asking, and I'm not sure how to answer it. Please explain. Thank you very much!!!

Trigonometry ?????? 
Steve
to explain, just evaluate:
a = √200
b = √41
a+b = (14,15)
a+b = √394 19.85
a+b = √200+√41 = 20.55
Seems clear to me.
if a and b are two sides of a parallelogram, a+b is the diagonal.
Clearly the indicated values cannot be equal unless a is parallel to b.
Respond to this Question
Similar Questions

Calculus
What does this mean? For any vector Vector a find Vector a × Vector a. Explain why (this is cross product stuff). Thanks 
Dot Product
Verify using an example that Vector a • (Vector b • Vector c) = (Vector a • Vector b) • Vector c is not true. Explain your reasoning both numerically and by using the definition of the dot product. I am very confused as to … 
Calc: PLEASE HELP!
How can this be proven! I have tried so many ways! PLEASE help! Verify using an example that Vector a + (Vector b • Vector c) = (Vector a • Vector b) + Vector c? 
Mathematics  Dot Product
Consider rhombus ABCD a) Find the resultants of vector AB + vector AD and vector AB  vector AD b) What will the value of (vector AB + vector AD) dot product (vector AB  vector AD) always be? 
Physics
Let vector A = 4i^ + 4j^, vector B = 2i^  5j^, and vector F = vector A  5(vector B). a) Write vector F in component form. vector F = ? 
Physics
Let vector A = 4i^ + 4j^, vector B = 2i^  5j^, and vector F = vector A  5(vector B). a) Write vector F in component form. vector F = ? 
Vectors
Explain why it is not possible for Vector a • (Vector b • Vector c) to equal (Vector a • Vector b) • Vector c . (This means that the dot product is not associative.) 
Vectors
Verify using an example that Vector a + (Vector b • Vector c) is not equal to (Vector a + Vector b) • (Vector a +Vector c). (This means that addition does not distribute over the dot product.) Explain the problem that arises. 
calculus
State whether or not the following statements are true. Justify your reasoning.? 
Vectors
Verify using an example that Vector a + (Vector b • Vector c) is not equal to (Vector a + Vector b) • (Vector a +Vector c). Explain the problem that arises