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(2554) Question Category: Mathematical Calculation

  1. Show that underline{a}.underline{a}=0
  2. If underline{a}=left langle 0,1,2 ight angle and underline{b}=left langle 3,1,0 ight angle  find
  1. underline{a} imes underline{b}
  2. underline{b} imes underline{a}
  1. If  underline{a}=left langle -4,0,3 ight angle , underline{b}=left langle 2,-1,0 ight angle  and underline{c}=left langle 0,2,1 ight angle show that underline{a} imes(underline{b} imesunderline{c}) eq (underline{a} imesunderline{b}) imesunderline{c}.

Answer / Solution

UNSOLVED

(2555) Question Category: Mathematical Calculation

  1. Find the unit vector perpendicular to both underline{a}=underline{i}+3underline{j}+4underline{k}   and underline{b}=2underline{i}+2underline{j}+underline{k}
  2. If  underline{a}=left langle 0,1,2 ight angle   and  underline{b}=left langle 1,0,1 ight angle show that vector underline{a} imes underline{b} is perpendicular to both underline{a}  and underline{b}.
  3. Prove that (underline{a}-underline{b}) imes (underline{a}+underline{b})=2(underline{a} imesunderline{b})

Answer / Solution

UNSOLVED

(2556) Question Category: Mathematical Calculation

  1. If  underline{a}, underline{b} and underline{c}  are vectors in V_{3} , show that  underline{a}.(underline{b}+underline{c})=underline{a}.underline{b} + underline{a}.underline{c}
  2. Given  |underline{r} imesunderline{s}|=sqrt{35} and if underline{r}=2underline{i}+underline{j}-underline{k}  and underline{s}=3underline{i}+lambda underline{j}+underline{k}  find the exact value(s) of lambda.

Answer / Solution

UNSOLVED

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