Vectors – Calculate the scalar multiplication of vectors – Exercise 3564 Post category:Vectors Post comments:0 Comments Exercise The vectors a⃗,b⃗\vec{a},\vec{b}a,b Create a 120 degree angle. Given that ∣a⃗∣=3,∣b⃗∣=4|\vec{a}|=3, |\vec{b}|=4∣a∣=3,∣b∣=4 Calculate a⃗⋅a⃗\vec{a}\cdot \vec{a}a⋅a a⃗⋅b⃗\vec{a}\cdot \vec{b}a⋅b (a⃗+a⃗)2{(\vec{a}+ \vec{a})}^2(a+a)2 (3a⃗+2b⃗)(a⃗+2b⃗)(3\vec{a}+2\vec{b})(\vec{a}+2\vec{b})(3a+2b)(a+2b) Final Answer Show final answer a⃗⋅a⃗=9\vec{a}\cdot \vec{a}=9a⋅a=9 a⃗⋅b⃗=−6\vec{a}\cdot \vec{b}=-6a⋅b=−6 (a⃗+a⃗)2=13{(\vec{a}+ \vec{a})}^2=13(a+a)2=13 (3a⃗+2b⃗)(a⃗+2b⃗)=43(3\vec{a}+2\vec{b})(\vec{a}+2\vec{b})=43(3a+2b)(a+2b)=43 Solution Coming soon… Share with Friends Read more articles Previous PostVectors – Prove an equation of vectors – Exercise 3573 You Might Also Like Vectors – Prove an equation of vectors – Exercise 3573 February 26, 2019 Vectors – Proof that the rhombus diagonals are perpendicular – Exercise 3576 February 26, 2019 Vectors – Calculate angle between two vectors – Exercise 3581 February 27, 2019 Vectors – Calculation of scalar multiplication between vectors in vector presentation – Exercise 3584 February 27, 2019 Vectors – Calculate angle between two vectors in vector representation – Exercise 3586 February 27, 2019 Vectors – Calculate one vector projection on another vector – Exercise 3589 February 27, 2019 Leave a Reply Cancel replyCommentEnter your name or username to comment Enter your email address to comment Enter your website URL (optional) Δ
Vectors – Calculation of scalar multiplication between vectors in vector presentation – Exercise 3584 February 27, 2019
Vectors – Calculate angle between two vectors in vector representation – Exercise 3586 February 27, 2019