Question

Let vectors aƒ— =(1,0,-3), bƒ— =(-2,5,1), and cƒ— =(3,1,1). What is the value of vector aƒ— + bƒ— + cƒ— ?

Answer 1

The sum of the vectors aƒ— =(1,0,-3), bƒ— =(-2,5,1), and cƒ— =(3,1,1) is (2,6,-1).

Step-by-step explanation:

To find the sum of vectors in multidimensional space, we need to add the corresponding components of each vector. Here's the calculation:

(1,0,-3) + (-2,5,1) + (3,1,1) = (1-2+3, 0+5+1, -3+1+1)

= (2,6,-1)

Therefore, the sum of the vectors aƒ— + bƒ— + cƒ— is (2,6,-1).

In conclusion, the vector sum of aƒ— =(1,0,-3), bƒ— =(-2,5,1), and cƒ— =(3,1,1) indeed results in (2,6,-1). This outcome is achieved by adding the corresponding components of each vector in multidimensional space, demonstrating the fundamental principles of vector addition. The calculated sum (2,6,-1) represents the combined effect of these three vectors.