Let a unit vector which makes an angle of 60^ with 2i+2j-k and angle 45^ with i-k be C. Then C+(- 12i+ 13 2j- 23k) is:

Question

Accepted Answer

Correct answer: A. (a) C=C_1i+C_2j+C_3kC_1 ^2+C_2 ^2+C_3 ^2=1C (2i+2j-k )= |C | 9 cos ⁡60^ 2C_1+2C_2-C_3= 32 C_1-C_3=1C_1+2C_2= 12C_1= 23+ 12C_2= -13 2C_3= 23- 12

$Let a unit vector which makes an angle of 60^{\circ} with 2 i + 2 j - k and angle 45^{\circ} with i - k be C . Then C + (- \frac{1}{2} i + \frac{1}{3 2} j - \frac{2}{3} k) is:$

Solution

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