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Consider the equation of the straight li...

Consider the equation of the straight lines given by `L_1: vecr=hati+hatj+lambda(2hati-hatj+hatk)` and `L_2:vecr=2hati+hatj-hatk+mu(4hati-2hatj-2hatk)`

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Consider the equation of the straight lines given by : L_1:vecr=(hati+2hatj+hatk)+lambda(hati-hatj+hatk) L_2:vecr=(2hati-hatj-hatk)+mu(2hati+hatj+2hatk) If veca_1=hati+2hatj+hatk, vecb_1=hati-hatj+hatk, veca_2=2hati-hatj-hatk, vecb_2=2hati+hatj+2hatk , then find : the shortest distance between L_1 and L_2 .

Consider the equation of the straight lines given by : L_1:vecr=(hati+2hatj+hatk)+lambda(hati-hatj+hatk) L_2:vecr=(2hati-hatj-hatk)+mu(2hati+hatj+2hatk) If veca_1=hati+2hatj+hatk, vecb_1=hati-hatj+hatk, veca_2=2hati-hatj-hatk, vecb_2=2hati+hatj+2hatk , then find : (vecb_1xxvecb_2)*(veca_2-veca_1)

Consider the equation of the straight lines given by : L_1:vecr=(hati+2hatj+hatk)+lambda(hati-hatj+hatk) L_2:vecr=(2hati-hatj-hatk)+mu(2hati+hatj+2hatk) If veca_1=hati+2hatj+hatk, vecb_1=hati-hatj+hatk, veca_2=2hati-hatj-hatk, vecb_2=2hati+hatj+2hatk , then find : veca_2-veca_1

Consider the equation of the straight lines given by : L_1:vecr=(hati+2hatj+hatk)+lambda(hati-hatj+hatk) L_2:vecr=(2hati-hatj-hatk)+mu(2hati+hatj+2hatk) If veca_1=hati+2hatj+hatk, vecb_1=hati-hatj+hatk, veca_2=2hati-hatj-hatk, vecb_2=2hati+hatj+2hatk , then find : vecb_2-vecb_1

Consider the equation of the straight lines given by : L_1:vecr=(hati+2hatj+hatk)+lambda(hati-hatj+hatk) L_2:vecr=(2hati-hatj-hatk)+mu(2hati+hatj+2hatk) If veca_1=hati+2hatj+hatk, vecb_1=hati-hatj+hatk, veca_2=2hati-hatj-hatk, vecb_2=2hati+hatj+2hatk , then find : vecb_1xxvecb_2

Consider the equation of the straight lines given by : L_1:vecr=(hati+2hatj+hatk)+lambda(hati-hatj+hatk) L_2:vecr=(2hati-hatj-hatk)+mu(2hati+hatj+2hatk) If veca_1=hati+2hatj+hatk, vecb_1=hati-hatj+hatk, veca_2=2hati-hatj-hatk, vecb_2=2hati+hatj+2hatk , then find : veca_1xxveca_2

Find the shrotest distance between the lines vecr = hati+hatj+ lambda(2hati-hatj+hatk) and vecr= 2hati+hatj-hatk+mu(2hati-hatj+hatk) .

Find the shrotest distance between the lines vecr = hati+hatj+ lambda(2hati-hatj+hatk) and vecr= 2hati+hatj-hatk+mu(2hati-hatj+hatk) .

Consider the following 3 lines in space L_1:vecr=3 hati-hatj+2 hatk+lambda(2 hati+4hatj-hatk) L_2:vecr=hati+hatj-3 hatk+mu(4hati+2hatj+4hatk)L_3: vecr=3hati+2hatj-2hatk+t(2hati+hatj+2hatk) Then which one of the following pair(s) are in the same plane.