Question

how can i find projection of b+c vector an a vector plz elaborate​

Answer 1

Answer:

Definition. Projection of the vector AB on the axis l is a number equal to the value of the segment A1B1 on axis l, where points A1 and B1 are projections of points A and B on the axis l (Fig. 1).

Fig. 1

Definition. The vector projection of a vector a on a nonzero vector b is the orthogonal projection of a onto a straight line parallel to b.

Vector projection - formula

The vector projection of a on b is the unit vector of b by the scalar projection of a on b:

proj ba = a · b b

|b|2

The scalar projection of a on b is the magnitude of the vector projection of a on b.

|proj ba| = a · b

|b|

Answer 2

Answer:

Definition. Projection of the vector AB on the axis l is a number equal to the value of the segment A1B1 on axis l, where points A1 and B1 are projections of points A and B on the axis l (Fig. 1).

Fig. 1

Definition. The vector projection of a vector a on a nonzero vector b is the orthogonal projection of a onto a straight line parallel to b.

Vector projection - formula

The vector projection of a on b is the unit vector of b by the scalar projection of a on b:

proj ba = a · b b

|b|2

The scalar projection of a on b is the magnitude of the vector projection of a on b.

|proj ba| = a · b

|b|