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Find the unit vectors perpendicular to the plane of the vectors `vec(a) = 2 hat(i) - 6 hat(j)- 3 hat(k)` and ` vec(b)= 4 hat(i) + 3 hat(j) - hat(k).`

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Then the following equation has to be satisfied: →n. (→r − → r0) = 0. This has to hold because the difference vector →r − → r0 has to lie in our plane. Now let's try to find out

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How can I find a unit vector perpendicular to the plane?

Transcribed image text: Find a unit vector perpendicular to plane PQR determined by the points P(2, 1, 1), Q(1, 0, 0) and R(2, 2, 2). 1/root 2 (i - j) 1/root 2 (j + k) 1/root 2 (i + j) 1/root 2 (j - k) Let D

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Find a unit vector perpendicular to each of the vectors a + 2 b and 2 a + b, where a = 3 i ^ + 2 j ^ + 2 k ^ and b = i ^ + 2 j ^ − 2 k ^. Medium View solution