Elaia06 said:we have the vectors a ,b and c with the modules a=2,b=5 and c=7. If a+b+c=0 find a*b+b*c+a*c
Now,i tried a+b=-c and replace but i get nothing in the end..any ideas?
Elaia06 said:we have the vectors a ,b and c with the modules a=2,b=5 and c=7. If a+b+c=0 find a*b+b*c+a*c
Now,i tried a+b=-c and replace but i get nothing in the end..any ideas?
A vector is a mathematical quantity that has both magnitude and direction. It is commonly represented by an arrow, with the length indicating the magnitude and the direction indicating the direction.
Vectors are used in many fields, including physics, engineering, and computer graphics. They are commonly used to represent forces, velocities, and other physical quantities in the real world.
To add or subtract vectors, you can use the parallelogram method or the head-to-tail method. In the parallelogram method, you draw the two vectors as adjacent sides of a parallelogram and the resulting vector is the diagonal of the parallelogram. In the head-to-tail method, you draw the vectors end-to-end and the resulting vector is the one connecting the starting point of the first vector to the end point of the last vector.
A unit vector is a vector with a magnitude of 1 and is used to indicate direction. It is commonly denoted with a hat, such as u^, to distinguish it from regular vectors.
The dot product of two vectors is the product of their magnitudes and the cosine of the angle between them. It is calculated by multiplying the corresponding components of the two vectors and then adding the results together. The cross product of two vectors is a vector that is perpendicular to both of the original vectors and has a magnitude equal to the product of their magnitudes and the sine of the angle between them. It is calculated by using the determinant of a 3x3 matrix composed of the components of the two vectors.