For the following exercises, use the given vectors a and b. a. Determine the vector sum 𝐚 𝐛 and express it in both the component form and by using the standard unit vectors. b. Find the vector difference 𝐚-𝐛 and express it in both the component form and by using the standard unit vectors. c. Verify that the vectors a, 𝐛, and 𝐚 𝐛, and, respectively, a, 𝐛, and 𝐚-𝐛 satisfy the triangle inequality. d. Determine the vectors 2 a, -b, and 2 a b . Express the vectors in both the component fo

SOLVED:For the following exercises, the vectors 𝐚, 𝐛, and 𝐜 are given. Determine the vectors (𝐚 ·𝐛) 𝐜 and (𝐚 ·𝐜) 𝐛. Express the vectors in component form. 𝐚=⟨2,0,-3⟩, 𝐛=⟨-4,-7,1⟩, 𝐜=⟨1,1,-1⟩

Ex 10.3, 2 - Find angle between vectors i - 2j + 3k, 3i - 2j + k