For any vector ${\rm{\vec a}}$ ${\left| {{\rm{\vec a}} \times {\rm{\hat i}}} \right|^2} + {\left| {{\rm{\vec a}} \times {\rm{\hat j}}} \right|^2} + {\left| {{\rm{\vec a}} \times {\rm{\hat k}}} \right|^2}$ is equal to

Question

For any vector ${\rm{\vec a}}$ ${\left| {{\rm{\vec a}} \times {\rm{\hat i}}} \right|^2} + {\left| {{\rm{\vec a}} \times {\rm{\hat j}}} \right|^2} + {\left| {{\rm{\vec a}} \times {\rm{\hat k}}} \right|^2}$ is equal to

TuteeHUB · Accepted Answer

$3{\left| {{\rm{\vec a}}} \right|^2}$

TuteeHUB · Answer

${\left| {{\rm{\vec a}}} \right|^2}$

TuteeHUB · Answer

$2{\left| {{\rm{\vec a}}} \right|^2}$

TuteeHUB · Answer

$4{\left| {{\rm{\vec a}}} \right|^2}$

1.	For any vector \({\rm{\vec a}}\) \({\left\| {{\rm{\vec a}} \times {\rm{\hat i}}} \right\|^2} + {\left\| {{\rm{\vec a}} \times {\rm{\hat j}}} \right\|^2} + {\left\| {{\rm{\vec a}} \times {\rm{\hat k}}} \right\|^2}\) is equal to
A.	\({\left\| {{\rm{\vec a}}} \right\|^2}\)
B.	\(2{\left\| {{\rm{\vec a}}} \right\|^2}\)
C.	\(3{\left\| {{\rm{\vec a}}} \right\|^2}\)
D.	\(4{\left\| {{\rm{\vec a}}} \right\|^2}\)
Answer» C. \(3{\left\| {{\rm{\vec a}}} \right\|^2}\)

For any vector \({\rm{\vec a}}\) \({\left| {{\rm{\vec a}} \times {\rm{\hat i}}} \right|^2} + {\left| {{\rm{\vec a}} \times {\rm{\hat j}}} \right|^2} + {\left| {{\rm{\vec a}} \times {\rm{\hat k}}} \right|^2}\) is equal to

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