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If `veca and vecb ` are two unit vectors perpendicular to each other and `vecc=lamda_1veca+lamda_2vecb+lamda_3(vecaxxvecb)` then the following is (are) true (A) `lamda_1=veca.vecc` (B) `lamda_2=|vecbxxvecc|` (C) `lamda_3=|(vecaxxvecb)xxvecc|` (D) `lamda_1+lamda_2+lamda_3=(veca+vecb+vecaxxvecb).vecc`

A

`lambda_1=a*c`

B

`lambda_2=|atimesb|`

C

`lambda_3=|(atimesb)timesc|`

D

`lambda_1+lambda_2+lambda_3=(a+b+atimesb)*c`

Text Solution

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The correct Answer is:
A, D
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