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Question Number 190811 by otchereabdullai last updated on 12/Apr/23

 If the angle between the vectors   c =ai+2j and  d=3i+j is 45° , find   the two possible values of a

Iftheanglebetweenthevectorsc=ai+2jandd=3i+jis45°,findthetwopossiblevaluesofa

Answered by safojontoshtemirov last updated on 12/Apr/23

c=(a;2) d=(3;1)  cd=∣c∣∣d∣cosa  3a+2=(√(a^2 +4))∙(√5)  9a^2 +12a+4=5a^2 +20  4a^2 +12a−16=0  a^2 +3a−4=0  a=−4  a=1

c=(a;2)d=(3;1)cd=∣c∣∣dcosa3a+2=a2+459a2+12a+4=5a2+204a2+12a16=0a2+3a4=0a=4a=1

Commented by otchereabdullai last updated on 12/Apr/23

God bless you sir!

Godblessyousir!

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