Vectors questions | form six Pure Advanced Mathematics

(4108) Question Category: Mathematical Calculation

  1. If underline{a}=3underline{i}-5underline{j}-2underline{k} and underline{b}=7underline{i}+underline{j}-2underline{k} are non zero vectors, Find the projection of underline{a} onto underline{b}.
  2. Use vectors to prove the sine rule.
  3. If heta is the angle between two unit vectors underline{a} and underline{b} show that frac{1}{2}|underline{a}+underline{b}|= cosleft ( frac{ heta}{2} ight )
  4. If small G(t)=e^{t}underline{i}+ cost underline{j}+ tunderline{k} find small frac{d}{dt}[(sin t)G(t)]
  5. Integrate the vector small e^{t}underline{i}+2tunderline{j}+ ln tunderline{k} with respect to t.
  6. The two vectors small underline{a} and small underline{b} have the same magnitude and an angle between them is small 60degree. If their scalar product is small frac{1}{2}, find their magnitude.

Answer / Solution

UNSOLVED

(6668) Question Category: Mathematical Calculation

Find the unit vector perpendicular to both vectors small underline{a}=3underline{i}+2underline{j}+2underline{k} and small underline{b}=underline{i}+2underline{j}-2underline{k}.

Answer / Solution

UNSOLVED

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