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If veca and vecb are two vectors and ang...

If `veca and vecb` are two vectors and angle between them is `theta` , then
a. `|atimesb|^(2)+(a*b)^(2)=|a|^(2)|b|^(2)`
b. `|atimesb|=(a*b), if theta=(pi)/(4)`
c. `atimesb=(a*b)hat(n)`, (where `hat(n)` is a normal unit vector), if `theta=(pi)/(4)`
d. `|atimesb|*(a+b)=0`

A

`|atimesb|^(2)+(a*b)^(2)=|a|^(2)|b|^(2)`

B

`|atimesb|=(a*b), if theta=(pi)/(4)`

C

`atimesb=(a*b)hat(n)`, (where `hat(n)` is a normal unit vector), if `theta=(pi)/(4)`

D

`|atimesb|*(a+b)=0`

Text Solution

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The correct Answer is:
A, B, C, D
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (More Than One Correct Option Type Questions)
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  13. Let a, b and c be non-zero vectors and |a|=1 and r is a non-zero vecto...

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  14. If veca and vecb are two unit vectors perpendicular to each other and...

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  15. Given three non-coplanar vectors OA=a, OB=b, OC=c. Let S be the centre...

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  16. If a=hat(i)+hat(j)+hat(k) and b=hat(i)-hat(j), then(a*hat(i))hat(i)+(a...

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  17. If vec a=x hat i+y hat j+z hat k , vec b=y hat i+z hat j+x hat k. The ...

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  18. Which of the following statement(s) is/are true?

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