Question

define equal and vector and negative vector show that 1-1/√2 is a unite vector​

Answer 1

Answer:

Here,  

A

=−2  

i

^

+3  

j

^

​  

+  

k

^

 

B

=  

i

^

+2  

j

^

​  

−4  

k

^

 

The resultant vector of  

A

 and  

B

 is  

R

 =  

A

 +  

B

 

∴  

R

=(−2  

i

^

+3  

j

^

​  

+  

k

^

)+(  

i

^

+2  

j

^

​  

−4  

k

^

)=−  

i

^

+5  

j

^

​  

−3  

k

^

 

R

 =  

(−1)  

2

+(5)  

2

+(−3)  

2

 

​  

=  

1+25+9

​  

=  

35

​  

 

Unit vector in the direction of resultant vector of  

A

 and  

B

 is  

R

 =  

R

/∣  

R

∣=  

35

​  

 

−  

i

^

+5  

j

^

​  

−3  

k

^

 

​  

 

Explanation: