[" 8.Image of the point "P" with position vector "7hat i-hat j+2hat k" in the line whose vector equation is "],[vec r=(9hat i+5hat j+5hat k)+lambda(hat i+3hat j+5hat k)" has position vector "]

Image of the point P with position vector 7hat i-hat j+2hat k in the line whose vector equation is,vec r=9hat i+5hat j+5hat k+lambda(hat i+3hat j+5hat k) has the position vector

Image of the point P with position vector 7hat(i) - hat(j) + 2hat(k) in the line whose vector equation is vec(r) = 9hat(i) + 5hat(j) + 5hat(k) + lambda(hat(i) + 3hat(j) + 5hat(k)) has the position .

Find lambda if the vectors 5 hat i + 2 hat j - hat k and lambda hat i - hat j + 5 hat k are orthogonal.

Points A and B have position vectors (5hat i-2hat j+4hat k) and (hat i+3hat j-7hat k) then find |vec AB|

Show that the points whose position vectors are 5hat i+5hat k,2hat i+hat j+3hat k and -4hat i+3hat j-hat k are collinear

The magnitude of the vector product of the vector hat i+hat j+hat k with a unit vector along the sum of vectors 2hat i+4hat j-5hat k and lambda i+2hat j+3hat k is equal to sqrt(2). Find the value of lambda_(.)

Find the value of lambda for which the four points with position vectors - hat j- hat k ,4 hat i+5 hat j+lambda hat k ,3 hat i+9 hat j+4 hat k and 4 hat i+4 hat j+4 hat k are coplanar.

the angle between the vectors 2hat i-3hat j+2hat k and hat i+5hat j+5hat k is

The position vector of a point is R =x hat i +y hat j + z hat k and another vector is A =3 hat i +2 hat j + 5hat k .Which of the mathematical relations is correct ?