[" 5.Find the value of "lambda" for which the vectors "vec a,vec b,vec c" are coplanar,where "],[qquad (1)^((A)/(d))=(2hat i-hat j+hat k),vec b=(hat i+2hat j+3hat k" and "vec c=(3hat i+lambdahat j+5hat k)]

Find the value of lambda for which the vectors vec(a), vec(b), vec(c) are coplanar, where (i) vec(a)=(2hat(i)-hat(j)+hat(k)), vec(b) = (hat(i)+2hat(j)+3hat(k) ) and vec(c)=(3 hat(i)+lambda hat(j) + 5 hat (k)) (ii) vec(a)lambda hat(i)-10 hat(j)-5k^(2), vec(b) =-7hat(i)-5hat(j) and vec(c)= hat(i)--4hat(j)-3hat(k) (iii) vec(a)=hat(i)-hat(j)+hat(k), vec(b)= 2hat( i) + hat(j)-hat(k) and vec(c)= lambda hat(i) - hat(j) + lambda hat(k)

Find lambda so that the vectors vec a=2hat i-hat j+hat k,vec b=hat i+2hat j-3hat k and vec c=3hat i+lambdahat j+5hat k re coplanar.

Find lambda so that the vectors vec a=2 hat i- hat j+ hat k ,\ vec b= hat i+2 hat j-3 hat k\ a n d\ vec c=3 hat i+lambda hat j+5 hat k are coplanar.

Find the value of lambda so that the following vectorts are coplanar: vec a=2hat i-hat j+hat k,vec b=hat i+2hat j-3hat k,vec c=lambdahat i+lambdahat j+5hat k

Find [vec avec bvec c], when :vec a=2hat i-3hat j,vec b=hat i+hat j-hat k and vec c=3hat i-hat k

If quad vec a=3hat i-hat j-4hat k,vec b=-2hat i+4hat j-3hat k and vec c=hat i+2hat j-hat k find |3vec a-2vec b+4vec c|

Find the value of lambda so that the following vectorts are coplanar: vec a=hat i+2hat j-3hat k,vec b=3hat i+lambdahat j+hat k,vec c=hat i+2hat j+2hat k

Find the value of lambda so that the following vectors are coplanar: vec a=hat i-hat j+hat k,vec b=2hat i+hat j-hat k,vec c=lambdahat i-hat j+lambdahat k

vec a=3hat i-hat j-4hat k,vec b=-2hat i+4hat j-3hat k and vec c=hat i+2hat j-hat k,f in d|3vec a-2vec b+4vec c|

Find vec a .(vec b × vec c) if vec a = 2 hat i+1 hat j+3 hat k and vec b=-1 hat i+2 hat j + hat k and vec c = 3 hat i + hat j +2 hat k