{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MATH226_SI_Week2

# MATH226_SI_Week2 - Find the magnitude of the torque about...

This preview shows pages 1–2. Sign up to view the full content.

Kevin Le Math 226 SI www.usc.edu/si Week 2 §10.4: The Cross Product §10.4: The Cross Product 1. Find ⃑⃑ given that and ⃑⃑ . 2. Find two unit vectors that are orthogonal to both < 7, 1, 4 > and < 5, 2, 6 >. 3. A bicycle pedal, with a 20 cm long shaft, lies 10 degrees above the x-axis. The pedal is pushed at an angle of 70 degrees above the x-axis. Find the magnitude of the force needed to supply 100 N m of torque to the end of the shaft (see figure).

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Kevin Le Math 226 SI www.usc.edu/si Week 2 §10.4: The Cross Product 4. 500 N of force in the upward direction is applied to a meter-long catapult when launched. Before launch,
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Find the magnitude of the torque about the attached end of the catapult (see figure). 5. Find the area of the triangle whose vertices are P(2, 0, -3), Q(3, 1, 0), and R(5, 2, 2). 6. Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS given the points P(3, 0, 1), Q(-1, 2, 5), R(5, 1, -1), and S(0, 4, 2). 7. Given ± ⃑ ² ³ ´µ ¶µ ·¸¹ º, » ¼⃑ ² ³ ¹µ ·´µ ¶ º, and ½⃑ ² ³ ¾µ ·¶µ ¸¶ º, are the vectors coplanar? 8. Let ¿ ⃑ ² ¸¾À̂ and let Á ¼⃑ be a vector with length 5 that starts at the origin and rotates in the yz-plane. Find the maximum and minimum values of the length of the vector Á ¼⃑ Â ¿ ⃑. In what direction does Á ¼⃑ Â ¿ ⃑ point?...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

MATH226_SI_Week2 - Find the magnitude of the torque about...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online