Maharashtra State BoardHSC Arts 12th Board Exam
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If a¯=4i^+3k^ and b¯=-2i^+j^+5k^, then find 2a¯+5b¯ - Mathematics and Statistics

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Sum

If `bar("a") = 4hat"i" + 3hat"k"` and `bar("b") = -2hat"i" + hat"j" + 5hat"k"`, then find `2bar("a") + 5bar("b")`

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Solution

`2bar("a") + 5bar("b")`

= `2(4hat"i" + 3hat"k") + 5(-2hat"i" + hat"j" + 5hat"k")`

= `8hat"i" + 6hat"k" -10hat"i" + 5hat"j" + 25hat"k"`

= `- 2hat"i" + 5hat"j" + 31hat"k"`

Concept: Vector Joining Two Points
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