Question

Given ⃗ a=3 ⃗ i−4 ⃗ j ⃗ k ,and ⃗ b=−2 ⃗ i 2 ⃗ j−3 ⃗ k , determine each of the following in terms of ⃗ i , ⃗ j and ⃗k.

2 ( ⃗ a−3 ⃗ b ) −3(−2 ⃗ a−7 ⃗ b)

Answer 1

To determine the value of the given expression in terms of i, j, and k, substitute the values of a and b, simplify the expression, and combine like terms.

Step-by-step explanation:

To determine each of the following expressions in terms of i, j, and k:

1. 2(a - 3b) - 3(-2a - 7b)

Solution:

1. Substitute the values of a and b into the expression:
2. Simplify the expression by multiplying each term by 2 and -3, respectively:
3. Combine like terms to get the final answer:

Therefore, the expression 2(a - 3b) - 3(-2a - 7b) is equal to -0.866.