Engineering Calculus Notes 102

Engineering Calculus Notes 102 - 90 CHAPTER 1. COORDINATES...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 90 CHAPTER 1. COORDINATES AND VECTORS 1. Calculate each determinant below: (a) 1 −2 34 (b) −1 2 3 −4 (c) −1 2 4 −8 2. Sketch the triangle △ABC and indicate its orientation; find σ (A, B, C )A (△ABC ): (a) A(0, 0), B (2, 1), C (1, 2) (b) A(1, 2), B (2, 0), C (3, 3) (c) A(2, 1), B (1, 3), C (3, 2) →→ 3. Calculate − × − : v w → (a) − = (1, 2, 3), v → − = (3, 1, 2), (b) v →→ (c) − = − , v ı →→ (d) − = − , v ı → − = (3, 1, 2) w → − = (6, 5, 4) w →→ − =− w → − → −=k w → −→ → − → → → → → (e) − = 4− − 3− + 7 k , − = −2− − 5− + 4 k v ı w ı 4. Find the oriented area vector A (△ABC ) and calculate the area of the triangle: (a) A = (0, 0, 0), B = (1, 2, 3), C = (3, 2, 1) (b) A = (1, 3, 2), B = (2, 3, 1), C = (3, 3, 2) (c) A = (2, −1, −4), B = (−1, 1, 0), C = (3, −3, −2) Theory problems: ...
View Full Document

Ask a homework question - tutors are online