 Hi and welcome to the session. Let us discuss the following question. Question says in figure 10.6 identify the following vectors. These are the given vectors and this is the given figure 10.6. Let us now start with the solution. Now in the first part of the given question we have to find co-initial vectors. First of all let us understand what are co-initial vectors. Two or more vectors having the same initial point are called co-initial vectors. Clearly we can see in this figure these two vectors that is vector A and vector D have same initial point. So these two vectors are co-initial vectors. So here we can write co-initial vectors are vector A and vector D. Now in the second part of the given question we have to find equal vectors. First of all let us understand what are equal vectors. Two vectors are said to be equal if they have the same magnitude and direction regardless of the positions of their initial points. Now we know this is a square and all sides of square are equal. So magnitude of all these vectors are equal. Now we know equal vectors have the same magnitude and direction. Now let us consider these two vectors. Clearly we can see these two vectors have same magnitude but opposite direction. So they are not equal vectors. Now let us consider these two vectors. These two vectors have same magnitude and same direction. So they are equal vectors. So we can write equal vectors are vector B and vector D. Now let us consider these two vectors. Clearly we can see vector A and vector D have different directions. Now let us consider vector A and vector B. These two vectors also have different directions. Now let us consider vector B and vector C. Clearly we can see direction of these two vectors is also different. Similarly vector C and vector D also have different directions. So the only equal vectors present in this figure are vector B and vector D. Now in the third part of the given question we have to find vectors which are collinear but not equal. Now we know two or more vectors are said to be collinear if they are parallel to the same line irrespective of their magnitudes and directions. Now we know in a square opposite sides are parallel to each other. So vector A and vector C are collinear vectors. Similarly vector D and vector B are collinear vectors. Now we have to find the vectors which are collinear but not equal. Now here we have shown vector B and vector D are equal vectors. So vectors which are collinear but not equal are vector A and vector C. We know equal vectors have same magnitude as well as same direction. Now here these two vectors they have same magnitude but different directions. So they are unequal vectors. So vector A and vector C are collinear vectors and also they are not equal. So this is our required answer. This completes the session. Hope you understood the solution. Take care and have a nice day.