Show that the vector a which satisfies the vector equation must take the form a (, 2 1, 1) If in addition the vector a makes an angle cos 1 (1 3) with the vector (i j k) show that there are now two such vectors that satisfy both conditions

Question: Show that the vector a which satisfies the vector equation must take the form a = (, 2 1, 1). If in addition the vector

Show that the vector a which satisfies the vector equation

must take the form a = (α, 2α –1, 1). If in addition the vector a makes an angle cos⁻¹(1/3) with the vector (i – j + k) show that there are now two such vectors that satisfy both conditions.

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