Question

given vector A = 2i - j + 2k and vector b = - i - j + k. The unit vector of vector A- vector B IS______ ?

Answer 1

Answer:

We have a⃗ +b⃗ =i⃗ +k⃗ . The vector we are looking for is in the same direction as i⃗ +k⃗ , and hence must be a scalar multiple of it, say m(i⃗ +k⃗ ) .

The norm of this vector is m2+m2−−−−−−−√=|m|2–√ . Since it is a unit vector, its norm is also equal to 1 . Hence |m|=12–√ .

Finally, since we want the unit vector to be in the same direction as i⃗ +k⃗ , rather than in the opposite direction, m must be positive. Therefore, our unit vector is i⃗ +k⃗ 2–√

Answer 2

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