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The scalar projection of vector on vector is
MATHEMATICS · Single correct · A Level · Mathematics · Vectors · Vectors
Problem
The scalar projection of vector
a
⃗
\vec{a}
a
on vector
b
⃗
\vec{b}
b
is (a)
∣
a
⃗
∣
sin
θ
|\vec{a}|\sin\theta
∣
a
∣
sin
θ
(b)
a
⃗
⋅
b
⃗
∣
a
⃗
∣
\dfrac{\vec{a}\cdot\vec{b}}{|\vec{a}|}
∣
a
∣
a
⋅
b
(c)
a
⃗
⋅
b
⃗
∣
b
⃗
∣
\dfrac{\vec{a}\cdot\vec{b}}{|\vec{b}|}
∣
b
∣
a
⋅
b
(d)
∣
b
⃗
∣
cos
θ
|\vec{b}|\cos\theta
∣
b
∣
cos
θ
Related theory
Dot Product
Vectors
Vectors (Precalculus)
Scalar product
Vector Algebra
Projection of a vector on a line
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