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Collinearity Of two vectors
Last updated at May 29, 2023 by Teachoo
Ex 10.1, 5 Answer the following as true or false. (i) π β and β π β are collinear.Two vectors are collinear if they are parallel to line the same line. Here, π β and βπ β are parallel to line π β So, π β and βπ β are collinear. Hence, True. Ex 10.1, 5 Answer the following as true or false. (ii) Two collinear vectors are always equal in magnitude.Two vectors are collinear, if they are parallel to the same line. Here, π β and π β are parallel to π β Hence, collinear. But, π β and π β are not equal in magnitude. Thus, False. Ex 10.1, 5 Answer the following as true or false. (iii) Two vectors having same magnitude are collinear.Two or more vectors are collinear if they are parallel to the same line π β and π β are equal in magnitude but not parallel to the same line So, π β and π β are not collinear Hence, False. Ex 10.1, 5 Answer the following as true or false. (iv) Two collinear vectors having the same magnitude are equal.Two or more vectors are collinear if they are parallel to the same line. π β and π β are parallel to π β , and thus collinear. Also π β and π β have the same magnitude. But they have opposite directions. Now, Two or more vectors are equal if they have the Same Magnitude Same Direction Since, π β and π β have opposite directions, they are collinear vectors having the same magnitude but are not equal Hence, False