Question

Given that
A=3i−2j-k
,
B=2i−4j−3k
and
C=−i+2j+2k
. Find A+B+C

5(√3)

4(√5)

4(√2)

3(√5)

Answer 1

Answer on Question #56008– Math – Vector Calculus

Given that $A = 3i - 2j + k$, $B = 2i - 4j - 3k$ and $C = -i + 2j + 2k$.

Find $|A + B + C|$

Solution

$$A + B + C = 3i - 2j + k + 2i - 4j - 3k - i + 2j + 2k = (3 + 2 - 1)i + (-2 - 4 + 2)j + (1 - 3 + 2)k = 4i - 4j.$$

If $a = (a_x, a_y, a_z)$ then $|a| = \sqrt{a_x^2 + a_y^2 + a_z^2}$.

Thus,

$$|A + B + C| = \sqrt{4^2 + (-4)^2 + 0^2} = \sqrt{32} = 4\sqrt{2}.$$

Answer: $|A + B + C| = 4\sqrt{2}$.

www.AssignmentExpert.com