Pl.. Fast s smdnsksvdjsbdidn
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A = i - 2j - 3k
B = 4i - 2j + 6k
A + B = ( i - 2j - 3k ) + ( 4i - 2j + 6k )
= 5i -4j + 3k
we know,
basically , angle found by using dot product .
angle between (A + B) and x - axis ( e.g i )
Let angle between them = ∅
cos∅ = (A + B).i /|A + B| .| i |
= (5i -4j + 3k).i/5√2
= 5/5√2
= 1/√2
hence, cos∅ = cos45°
∅ = 45°
hence, angle = 45°
B = 4i - 2j + 6k
A + B = ( i - 2j - 3k ) + ( 4i - 2j + 6k )
= 5i -4j + 3k
we know,
basically , angle found by using dot product .
angle between (A + B) and x - axis ( e.g i )
Let angle between them = ∅
cos∅ = (A + B).i /|A + B| .| i |
= (5i -4j + 3k).i/5√2
= 5/5√2
= 1/√2
hence, cos∅ = cos45°
∅ = 45°
hence, angle = 45°
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