Let A be a point in space such that |\ov {O A}|=12, where O is the origin. If \overline{O A} is inclined at angles 45^\circ and 60^\circ with x - axis and y -axis respectively, then what is \overline{O A} equal to? [NDA-I 2020]

Correct Answer is : 6√2^i+6^j±6^k

6 \stackrel{\^}{i}+6 {j} ^{\^}\pm\sqrt{2} \stackrel{\^}{k}

6 \stackrel{\^}{i}+6\sqrt2 {j} ^{\^}\pm6 \stackrel{\^}{k}

6\sqrt2 \stackrel{\^}{i}+6 {j} ^{\^}\pm6 \stackrel{\^}{k}

3\sqrt2 \stackrel{\^}{i}+3 {j} ^{\^}\pm6 \stackrel{\^}{k}

NDA Math Vector Algebra

Question : 24 of 101

Marks: +1, -0

Let A be a point in space such that |OA|=12, where O is the origin. If OA is inclined at angles 45° and 60° with x - axis and y -axis respectively, then what is OA equal to?

[NDA-I 2020]

6
^
i
+6
^
j
±√2
^
k
6
^
i
+6√2
^
j
±6
^
k
6√2
^
i
+6
^
j
±6
^
k
3√2
^
i
+3
^
j
±6
^
k

Validate

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