Question

Find two unit vectors perpendicular to both \(\vec{a} = 3\vec{j} + 2\vec{k}\) and \(\vec{b} = -\vec{i} - 2\vec{k}\). Select one: a. \( -\frac{6}{7}\vec{i} - \frac{2}{7}\vec{j} + \frac{3}{7}\vec{k} \) and \( \frac{6}{7}\vec{i} + \frac{2}{7}\vec{j} - \frac{3}{7}\vec{k} \) b. \( -\frac{6}{7}\vec{i} + \frac{2}{7}\vec{j} + \frac{3}{7}\vec{k} \) and \( \frac{6}{7}\vec{i} - \frac{2}{7}\vec{j} - \frac{3}{7}\vec{k} \) c. \(\vec{k}\) and \( -\vec{k} \) d. \( -6\vec{i} - 2\vec{j} + 3\vec{k} \) and \( 6\vec{i} + 2\vec{j} - 3\vec{k} \) e. \( -\frac{1}{2}\vec{i} + \frac{3}{2}\vec{j} \) and \( \frac{1}{2}\vec{i} - \frac{3}{2}\vec{j} \)

          Find two unit vectors perpendicular to both \(\vec{a} = 3\vec{j} + 2\vec{k}\) and \(\vec{b} = -\vec{i} - 2\vec{k}\).
Select one:
a. \( -\frac{6}{7}\vec{i} - \frac{2}{7}\vec{j} + \frac{3}{7}\vec{k} \) and \( \frac{6}{7}\vec{i} + \frac{2}{7}\vec{j} - \frac{3}{7}\vec{k} \)
b. \( -\frac{6}{7}\vec{i} + \frac{2}{7}\vec{j} + \frac{3}{7}\vec{k} \) and \( \frac{6}{7}\vec{i} - \frac{2}{7}\vec{j} - \frac{3}{7}\vec{k} \)
c. \(\vec{k}\) and \( -\vec{k} \)
d. \( -6\vec{i} - 2\vec{j} + 3\vec{k} \) and \( 6\vec{i} + 2\vec{j} - 3\vec{k} \)
e. \( -\frac{1}{2}\vec{i} + \frac{3}{2}\vec{j} \) and \( \frac{1}{2}\vec{i} - \frac{3}{2}\vec{j} \)

Find two unit vectors perpendicular to both a⃗ = 3j⃗ + 2k⃗ and b⃗ = -i⃗ - 2k⃗.
Select one:
a. -(6)/(7)i⃗ - (2)/(7)j⃗ + (3)/(7)k⃗ and (6)/(7)i⃗ + (2)/(7)j⃗ - (3)/(7)k⃗
b. -(6)/(7)i⃗ + (2)/(7)j⃗ + (3)/(7)k⃗ and (6)/(7)i⃗ - (2)/(7)j⃗ - (3)/(7)k⃗
c. k⃗ and -k⃗
d. -6i⃗ - 2j⃗ + 3k⃗ and 6i⃗ + 2j⃗ - 3k⃗
e. -(1)/(2)i⃗ + (3)/(2)j⃗ and (1)/(2)i⃗ - (3)/(2)j⃗

Added by Tim S.

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