Question

given a = 2 i^ - j^ + 3 k^ and b=3 i^ -2 j^ - 2 k^. find the unit vector of (1) a + b (2) a - b

Answer 1

Answer:

(1)a+b=(5i^-j^+k^)

(2)a-b=(-1^+j^+5k^)

Explanation:

add i^ , j^,k^ to get the answer individually.

Answer 2

Answer:

a+b=  5i - 3j + k

a-b= -i + j + 5k

Explanation:

here, the given data is

a = 2i - j + 3k and

b = 3i - 2j - 2k

First we find the value of unit vector a + b and a - b

Putting the values of a and b in the above  unit vector a + b, we get

a + b= (2i - j + 3k) + (3i - 2j - 2k)

a + b= (2+3)i + (-1-2)j + (3-2)k

a + b= 5i - 3j + k

Now, putting the values of a and b in the above unit vector a - b, we get

a - b = (2i - j + 3k) - (3i - 2j - 2k)

a - b = (2-3)i + (-1+2)j + (3+2)k

a - b = -i + j + 5k