Question

Write the vector a in terms of the other vectors. [ a= ] Part 2 Write the vector ( b ) in terms of the other vectors. [ mathbf{b}= ] Part 3 Write the vector a in terms of the other vectors.

Answer 1

Vector a = 2v - 3u.

Vector b = (1/2)u + (3/2)v - (5/2)w.

Vector a = 2v - 3u.

Step-by-step explanation:

To express vector a in terms of other vectors, we use scalar multiplication and vector addition. Vector a is composed of 2v and -3u.

Vector b is written in terms of other vectors by combining scalar multiples of u, v, and w. The coefficients are chosen to match the components of vector b.

The expression for vector a is repeated to emphasize its composition in terms of u and v. This helps provide clarity on how a is constructed using the given vectors.