Vector basics

Instructions: answer the questions, check them carefully, and when you are sure they are all right, press submit. The number of correct answers will be displayed.

Question 1: What is the vector for this displacement?

Question 2: What is the parametric equation for this vector?

Question 3:
\${QR}↖{→}\$ = 3a - 2b
What is \$-3{QR}↖{→}\$?

Question 4: \${QR}↖{→}\$ = 3a + 2b
\${RS}↖{→}\$ = 2a - 4b
What is \$3{QR}↖{→}\$ + \$2{RS}↖{→}\$?

Question 5:
\${QR}↖{→}\$ = 2a - b and \${RS}↖{→}\$ = a - 3b
What is \${SQ}↖{→}\$?

Question 6:
\${DE}↖{→}\$ = \$(table 3;-1)\$ and \${EF}↖{→}\$ = \$(table 3;5)\$

What is \${FD}↖{→}\$ as a column vector?

Question 7: A ship sails at a bearing of 100° at 30 km/h. How far south, relative to its starting position, is the ship after 6 hours?

Question 8: An aeroplane flies at a bearing of 240° at 640 km/h. How far west, relative to its starting position, is the plane after 2 hours?

Question 9: A aeroplane flies at 500km/h on a compass bearing of 90°, while there is a 50km/h north wind. What is the plane's position after 1.5 hours?

Question 10: What is the length of the vector \${AB}↖{→}\$ = 5i + 6j

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