Question

Two vectors are known A=3i-6j+2k B=i+3h-5k The sum of vector A and vector B is a. 3i+3j+2k b. i-6j-5k c. 4i-3j-3k d. 3i-9h+7k e. 4i-9h-3k

Answer 1

Let's find the sum of the given vector A and vector B.

The given vectors are:

Vector A = 3i - 6j + 2k
Vector B = i + 3j - 5k

Now, in order to find the sum of these two vectors, we add their corresponding components. In other words, the i-component (x-directional part) of Vector A gets added to the i-component of Vector B, the j-component (y-directional part) of Vector A gets added to the j-component of Vector B, and the same goes for the k-component (z-directional part).

Summation of i-components:
3i (from Vector A) + 1i (from Vector B) = 4i

Summation of j-components:
(-6j from Vector A) + 3j (from Vector B) = -3j

Summation of k-components:
2k (from Vector A) - 5k (from Vector B) = -3k

So, the vector sum of A and B = 4i - 3j - 3k

Hence, the correct sum vector from the given choices is: c (4i - 3j - 3k).